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107095392 = 2533123953
BaseRepresentation
bin1100110001000…
…10010101100000
321110112000021000
412120202111200
5204404023032
614343232000
72440203315
oct630422540
9243460230
10107095392
11554a8398
122ba48600
1319259271
141031ad0c
159606e7c
hex6622560

107095392 has 48 divisors (see below), whose sum is σ = 312364080. Its totient is φ = 35698176.

The previous prime is 107095379. The next prime is 107095397. The reversal of 107095392 is 293590701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1070953922 = 22938845975267328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107095397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61113 + ... + 62840.

It is an arithmetic number, because the mean of its divisors is an integer number (6507585).

Almost surely, 2107095392 is an apocalyptic number.

107095392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107095392 is an abundant number, since it is smaller than the sum of its proper divisors (205268688).

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

107095392 is a wasteful number, since it uses less digits than its factorization.

107095392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123972 (or 123958 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 107095392 is about 10348.6903519238. The cubic root of 107095392 is about 474.8869788348.

The spelling of 107095392 in words is "one hundred seven million, ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 123953 247906 371859 495812 743718 991624 1115577 1487436 1983248 2231154 2974872 3346731 3966496 4462308 5949744 6693462 8924616 11899488 13386924 17849232 26773848 35698464 53547696 107095392