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92104128 = 2634109163
BaseRepresentation
bin1010111110101…
…10010111000000
320102022101010000
411133112113000
5142034313003
613050040000
72165605104
oct537262700
9212271100
1092104128
1147a99216
1226a19000
131610a8ac
14c337904
1581451a3
hex57d65c0

92104128 has 140 divisors (see below), whose sum is σ = 277220680. Its totient is φ = 30233088.

The previous prime is 92104109. The next prime is 92104157. The reversal of 92104128 is 82140129.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564975 + ... + 565137.

Almost surely, 292104128 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 92104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138610340).

92104128 is an abundant number, since it is smaller than the sum of its proper divisors (185116552).

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

92104128 is a wasteful number, since it uses less digits than its factorization.

92104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 92104128 is about 9597.0895588194. The cubic root of 92104128 is about 451.6059949156.

The spelling of 92104128 in words is "ninety-two million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 144 162 163 192 216 218 288 324 326 327 432 436 489 576 648 652 654 864 872 978 981 1296 1304 1308 1467 1728 1744 1956 1962 2592 2608 2616 2934 2943 3488 3912 3924 4401 5184 5216 5232 5868 5886 6976 7824 7848 8802 8829 10432 10464 11736 11772 13203 15648 15696 17604 17658 17767 20928 23472 23544 26406 31296 31392 35208 35316 35534 46944 47088 52812 53301 62784 70416 70632 71068 93888 94176 105624 106602 140832 141264 142136 159903 188352 211248 213204 281664 282528 284272 319806 422496 426408 479709 565056 568544 639612 844992 852816 959418 1137088 1279224 1439127 1705632 1918836 2558448 2878254 3411264 3837672 5116896 5756508 7675344 10233792 11513016 15350688 23026032 30701376 46052064 92104128