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104572512 = 25331111003
BaseRepresentation
bin1100011101110…
…10011001100000
321021202211112000
412032322121200
5203232310022
614213204000
72406565062
oct616723140
9237684460
10104572512
1154034970
122b030600
1318884b35
14dc61732
1592a96ac
hex63ba660

104572512 has 96 divisors (see below), whose sum is σ = 332760960. Its totient is φ = 31685760.

The previous prime is 104572493. The next prime is 104572541. The reversal of 104572512 is 215275401.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4003 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (3466260).

Almost surely, 2104572512 is an apocalyptic number.

104572512 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 104572512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166380480).

104572512 is an abundant number, since it is smaller than the sum of its proper divisors (228188448).

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

104572512 is a wasteful number, since it uses less digits than its factorization.

104572512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 104572512 is about 10226.0702129410. The cubic root of 104572512 is about 471.1282866910.

The spelling of 104572512 in words is "one hundred four million, five hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 11003 22006 33009 44012 66018 88024 99027 121033 132036 176048 198054 242066 264072 297081 352096 363099 396108 484132 528144 594162 726198 792216 968264 1056288 1089297 1188324 1452396 1584432 1936528 2178594 2376648 2904792 3168864 3267891 3873056 4357188 4753296 5809584 6535782 8714376 9506592 11619168 13071564 17428752 26143128 34857504 52286256 104572512