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412104132 = 223311794391
BaseRepresentation
bin11000100100000…
…011010111000100
31001201110001121000
4120210003113010
51320444313012
6104520453300
713132553526
oct3044032704
91051401530
10412104132
111a1692a30
12b601a230
13674bbacb
143ca35a16
15262a4ddc
hex189035c4

412104132 has 96 divisors (see below), whose sum is σ = 1180569600. Its totient is φ = 123271200.

The previous prime is 412104109. The next prime is 412104137. The reversal of 412104132 is 231401214.

412104132 is a `hidden beast` number, since 41 + 210 + 413 + 2 = 666.

It is a super-2 number, since 2×4121041322 = 339659631222946848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (412104137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91657 + ... + 96047.

It is an arithmetic number, because the mean of its divisors is an integer number (12297600).

Almost surely, 2412104132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590284800).

412104132 is an abundant number, since it is smaller than the sum of its proper divisors (768465468).

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

412104132 is a wasteful number, since it uses less digits than its factorization.

412104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412104132 is about 20300.3480758336. The cubic root of 412104132 is about 744.1645707747.

Adding to 412104132 its reverse (231401214), we get a palindrome (643505346).

The spelling of 412104132 in words is "four hundred twelve million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 99 108 132 158 198 237 297 316 396 474 594 711 869 948 1188 1422 1738 2133 2607 2844 3476 4266 4391 5214 7821 8532 8782 10428 13173 15642 17564 23463 26346 31284 39519 46926 48301 52692 79038 93852 96602 118557 144903 158076 193204 237114 289806 346889 434709 474228 579612 693778 869418 1040667 1304127 1387556 1738836 2081334 2608254 3122001 3815779 4162668 5216508 6244002 7631558 9366003 11447337 12488004 15263116 18732006 22894674 34342011 37464012 45789348 68684022 103026033 137368044 206052066 412104132