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1130720040 = 233353133773
BaseRepresentation
bin100001101100101…
…0110101100101000
32220210122112022000
41003121112230220
54303431020130
6304111131000
740006650612
oct10331265450
92823575260
101130720040
1153029777a
12276813a60
13150348618
14aa257db2
1569403260
hex43656b28

1130720040 has 128 divisors (see below), whose sum is σ = 3890764800. Its totient is φ = 291790080.

The previous prime is 1130720023. The next prime is 1130720057. The reversal of 1130720040 is 400270311.

It is an interprime number because it is at equal distance from previous prime (1130720023) and next prime (1130720057).

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 = 1130719995 and 1130720022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16594 + ... + 50366.

It is an arithmetic number, because the mean of its divisors is an integer number (30396600).

Almost surely, 21130720040 is an apocalyptic number.

1130720040 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 1130720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945382400).

1130720040 is an abundant number, since it is smaller than the sum of its proper divisors (2760044760).

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

1130720040 is a wasteful number, since it uses less digits than its factorization.

1130720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33824 (or 33814 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1130720040 is about 33626.1808714579. The cubic root of 1130720040 is about 1041.8016232469.

Adding to 1130720040 its reverse (400270311), we get a palindrome (1530990351).

The spelling of 1130720040 in words is "one billion, one hundred thirty million, seven hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 33773 67546 101319 135092 168865 202638 270184 303957 337730 405276 506595 607914 675460 810552 911871 1013190 1046963 1215828 1350920 1519785 1823742 2026380 2093926 2431656 3039570 3140889 3647484 4052760 4187852 4559355 5234815 6079140 6281778 7294968 8375704 9118710 9422667 10469630 12158280 12563556 15704445 18237420 18845334 20939260 25127112 28268001 31408890 36474840 37690668 41878520 47113335 56536002 62817780 75381336 94226670 113072004 125635560 141340005 188453340 226144008 282680010 376906680 565360020 1130720040