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107155296 = 2532372067
BaseRepresentation
bin1100110001100…
…00111101100000
321110122001102200
412120300331200
5204412432141
614344413200
72440543053
oct630607540
9243561380
10107155296
11555393a6
122ba77200
131927a601
1410334a9a
159619ab6
hex6630f60

107155296 has 36 divisors (see below), whose sum is σ = 304723692. Its totient is φ = 35718336.

The previous prime is 107155289. The next prime is 107155303. The reversal of 107155296 is 692551701.

107155296 is a `hidden beast` number, since 10 + 7 + 1 + 552 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (107155289) and next prime (107155303).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1071552962 = 22964514921695232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107155296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185746 + ... + 186321.

It is an arithmetic number, because the mean of its divisors is an integer number (8464547).

Almost surely, 2107155296 is an apocalyptic number.

107155296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107155296 is an abundant number, since it is smaller than the sum of its proper divisors (197568396).

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

107155296 is a wasteful number, since it uses less digits than its factorization.

107155296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372083 (or 372072 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 107155296 is about 10351.5842265810. The cubic root of 107155296 is about 474.9755052927.

It can be divided in two parts, 107 and 155296, that added together give a triangular number (155403 = T557).

The spelling of 107155296 in words is "one hundred seven million, one hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 372067 744134 1116201 1488268 2232402 2976536 3348603 4464804 5953072 6697206 8929608 11906144 13394412 17859216 26788824 35718432 53577648 107155296