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107155680 = 2535223241
BaseRepresentation
bin1100110001100…
…01000011100000
321110122001221220
412120301003200
5204412440210
614344415040
72440544142
oct630610340
9243561856
10107155680
1155539715
122ba77480
131927a838
1410334c92
159619c70
hex66310e0

107155680 has 48 divisors (see below), whose sum is σ = 337541904. Its totient is φ = 28574720.

The previous prime is 107155661. The next prime is 107155703. The reversal of 107155680 is 86551701.

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

It is a super-2 number, since 2×1071556802 = 22964679512524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111141 + ... + 112100.

It is an arithmetic number, because the mean of its divisors is an integer number (7032123).

Almost surely, 2107155680 is an apocalyptic number.

107155680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107155680 is an abundant number, since it is smaller than the sum of its proper divisors (230386224).

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

107155680 is a wasteful number, since it uses less digits than its factorization.

107155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223259 (or 223251 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 107155680 is about 10351.6027744500. The cubic root of 107155680 is about 474.9760726636.

The spelling of 107155680 in words is "one hundred seven million, one hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 223241 446482 669723 892964 1116205 1339446 1785928 2232410 2678892 3348615 3571856 4464820 5357784 6697230 7143712 8929640 10715568 13394460 17859280 21431136 26788920 35718560 53577840 107155680