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1130430420 = 2232574791873
BaseRepresentation
bin100001101100000…
…1111111111010100
32220210002211000100
41003120033333110
54303342233140
6304101014100
740004333340
oct10330177724
92823084010
101130430420
1153010a119
122766b4330
13150276852
14aa1c0620
1569397530
hex4360ffd4

1130430420 has 144 divisors (see below), whose sum is σ = 3929103360. Its totient is φ = 257707008.

The previous prime is 1130430373. The next prime is 1130430421. The reversal of 1130430420 is 240340311.

It is a super-3 number, since 3×11304304203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130430393 and 1130430402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130430421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602604 + ... + 604476.

It is an arithmetic number, because the mean of its divisors is an integer number (27285440).

Almost surely, 21130430420 is an apocalyptic number.

1130430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964551680).

1130430420 is an abundant number, since it is smaller than the sum of its proper divisors (2798672940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130430420 is a wasteful number, since it uses less digits than its factorization.

1130430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1130430420 is about 33621.8741297983. The cubic root of 1130430420 is about 1041.7126674370.

Adding to 1130430420 its reverse (240340311), we get a palindrome (1370770731).

The spelling of 1130430420 in words is "one billion, one hundred thirty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 479 630 958 1260 1437 1873 1916 2395 2874 3353 3746 4311 4790 5619 5748 6706 7185 7492 8622 9365 9580 10059 11238 13111 13412 14370 16765 16857 17244 18730 20118 21555 22476 26222 28095 28740 30177 33530 33714 37460 39333 40236 43110 50295 52444 56190 60354 65555 67060 67428 78666 84285 86220 100590 112380 117999 120708 131110 150885 157332 168570 196665 201180 235998 262220 301770 337140 393330 471996 589995 603540 786660 897167 1179990 1794334 2359980 2691501 3588668 4485835 5383002 6280169 8074503 8971670 10766004 12560338 13457505 16149006 17943340 18840507 25120676 26915010 31400845 32298012 37681014 40372515 53830020 56521521 62801690 75362028 80745030 94202535 113043042 125603380 161490060 188405070 226086084 282607605 376810140 565215210 1130430420