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1133042460 = 2235113494919
BaseRepresentation
bin100001110001000…
…1101101100011100
32220222000112001120
41003202031230130
54310024324320
6304233010540
740035462534
oct10342155434
92828015046
101133042460
11531633630
12277553a50
1315097c734
14aa6a04c4
1569711440
hex4388db1c

1133042460 has 96 divisors (see below), whose sum is σ = 3471552000. Its totient is φ = 273834240.

The previous prime is 1133042437. The next prime is 1133042473. The reversal of 1133042460 is 642403311.

It is a self number, because there is not a number n which added to its sum of digits gives 1133042460.

It is a congruent number.

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, 227881 + ... + 232799.

It is an arithmetic number, because the mean of its divisors is an integer number (36162000).

Almost surely, 21133042460 is an apocalyptic number.

1133042460 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 1133042460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735776000).

1133042460 is an abundant number, since it is smaller than the sum of its proper divisors (2338509540).

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

1133042460 is a wasteful number, since it uses less digits than its factorization.

1133042460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1133042460 is about 33660.6960712342. The cubic root of 1133042460 is about 1042.5143980667.

Adding to 1133042460 its reverse (642403311), we get a palindrome (1775445771).

The spelling of 1133042460 in words is "one billion, one hundred thirty-three million, forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 349 660 698 1047 1396 1745 2094 3490 3839 4188 4919 5235 6980 7678 9838 10470 11517 14757 15356 19195 19676 20940 23034 24595 29514 38390 46068 49190 54109 57585 59028 73785 76780 98380 108218 115170 147570 162327 216436 230340 270545 295140 324654 541090 649308 811635 1082180 1623270 1716731 3246540 3433462 5150193 6866924 8583655 10300386 17167310 18884041 20600772 25750965 34334620 37768082 51501930 56652123 75536164 94420205 103003860 113304246 188840410 226608492 283260615 377680820 566521230 1133042460