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104566272 = 293193583
BaseRepresentation
bin1100011101110…
…00111000000000
321021202111221220
412032320320000
5203232110042
614213115040
72406540636
oct616707000
9237674856
10104566272
1154030208
122b028a80
1318882045
14dc5d356
1592a78ec
hex63b8e00

104566272 has 80 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 33011712.

The previous prime is 104566271. The next prime is 104566369. The reversal of 104566272 is 272665401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104566271) 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 7 ways as a sum of consecutive naturals, for example, 27393 + ... + 30975.

It is an arithmetic number, because the mean of its divisors is an integer number (3666432).

Almost surely, 2104566272 is an apocalyptic number.

104566272 is a gapful number since it is divisible by the number (12) 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 104566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

104566272 is an abundant number, since it is smaller than the sum of its proper divisors (188748288).

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

104566272 is an equidigital number, since it uses as much as digits as its factorization.

104566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 104566272 is about 10225.7651058490. The cubic root of 104566272 is about 471.1189155254.

The spelling of 104566272 in words is "one hundred four million, five hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3583 3648 4864 7166 7296 9728 10749 14332 14592 21498 28664 29184 42996 57328 68077 85992 114656 136154 171984 204231 229312 272308 343968 408462 458624 544616 687936 816924 917248 1089232 1375872 1633848 1834496 2178464 2751744 3267696 4356928 5503488 6535392 8713856 13070784 17427712 26141568 34855424 52283136 104566272