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107076672 = 2632185897
BaseRepresentation
bin1100110000111…
…01110001000000
321110111001120200
412120131301000
5204402423142
614343005200
72440064613
oct630356100
9243431520
10107076672
115549531a
122ba39800
13192508a1
141031417a
15960164c
hex661dc40

107076672 has 42 divisors (see below), whose sum is σ = 306917598. Its totient is φ = 35692032.

The previous prime is 107076643. The next prime is 107076677. The reversal of 107076672 is 276670701.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 25644096 = 9024^2 + 5064^2 .

It is a super-2 number, since 2×1070766722 = 22930827373191168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107076677) 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 5 ways as a sum of consecutive naturals, for example, 92373 + ... + 93524.

Almost surely, 2107076672 is an apocalyptic number.

107076672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107076672 is an abundant number, since it is smaller than the sum of its proper divisors (199840926).

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

107076672 is a wasteful number, since it uses less digits than its factorization.

107076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185915 (or 185902 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 107076672 is about 10347.7858501227. The cubic root of 107076672 is about 474.8593075469.

The spelling of 107076672 in words is "one hundred seven million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 185897 371794 557691 743588 1115382 1487176 1673073 2230764 2974352 3346146 4461528 5948704 6692292 8923056 11897408 13384584 17846112 26769168 35692224 53538336 107076672