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107155728 = 2432744137
BaseRepresentation
bin1100110001100…
…01000100010000
321110122002000200
412120301010100
5204412440403
614344415200
72440544241
oct630610420
9243562020
10107155728
1155539759
122ba77500
131927a874
1410334cc8
159619ca3
hex6631110

107155728 has 30 divisors (see below), whose sum is σ = 299887614. Its totient is φ = 35718528.

The previous prime is 107155721. The next prime is 107155793. The reversal of 107155728 is 827551701.

107155728 is a `hidden beast` number, since 10 + 71 + 5 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 31674384 = 8688^2 + 5628^2 .

It is a super-2 number, since 2×1071557282 = 22964700086419968, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 107155692 and 107155701.

It is not an unprimeable number, because it can be changed into a prime (107155721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371925 + ... + 372212.

Almost surely, 2107155728 is an apocalyptic number.

107155728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107155728 is an abundant number, since it is smaller than the sum of its proper divisors (192731886).

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

107155728 is a wasteful number, since it uses less digits than its factorization.

107155728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744151 (or 744142 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 107155728 is about 10351.6050929312. The cubic root of 107155728 is about 474.9761435849.

The spelling of 107155728 in words is "one hundred seven million, one hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 744137 1488274 2232411 2976548 4464822 5953096 6697233 8929644 11906192 13394466 17859288 26788932 35718576 53577864 107155728