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96232104 = 23331773359
BaseRepresentation
bin1011011110001…
…10001010101000
320201002002122000
411233012022220
5144113411404
613314331000
72245650033
oct557061250
9221062560
1096232104
114a358671
1228289a60
1316c24797
14cad001a
1586ad339
hex5bc62a8

96232104 has 128 divisors (see below), whose sum is σ = 287712000. Its totient is φ = 29693952.

The previous prime is 96232061. The next prime is 96232117. The reversal of 96232104 is 40123269.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267877 + ... + 268235.

It is an arithmetic number, because the mean of its divisors is an integer number (2247750).

Almost surely, 296232104 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 96232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143856000).

96232104 is an abundant number, since it is smaller than the sum of its proper divisors (191479896).

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

96232104 is a wasteful number, since it uses less digits than its factorization.

96232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96232104 is about 9809.7963281609. The cubic root of 96232104 is about 458.2544177373.

The spelling of 96232104 in words is "ninety-six million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 102 108 136 146 153 204 216 219 292 306 359 408 438 459 584 612 657 718 876 918 1077 1224 1241 1314 1436 1752 1836 1971 2154 2482 2628 2872 3231 3672 3723 3942 4308 4964 5256 6103 6462 7446 7884 8616 9693 9928 11169 12206 12924 14892 15768 18309 19386 22338 24412 25848 26207 29784 33507 36618 38772 44676 48824 52414 54927 67014 73236 77544 78621 89352 104828 109854 134028 146472 157242 164781 209656 219708 235863 268056 314484 329562 439416 445519 471726 628968 659124 707589 891038 943452 1318248 1336557 1415178 1782076 1886904 2673114 2830356 3564152 4009671 5346228 5660712 8019342 10692456 12029013 16038684 24058026 32077368 48116052 96232104