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107073888 = 2531765609
BaseRepresentation
bin1100110000111…
…01000101100000
321110110220202120
412120131011200
5204402331023
614342544240
72440053525
oct630350540
9243426676
10107073888
1155493219
122ba38080
131924c53c
141031314c
1596008e3
hex661d160

107073888 has 48 divisors (see below), whose sum is σ = 297606960. Its totient is φ = 33591296.

The previous prime is 107073823. The next prime is 107073929. The reversal of 107073888 is 888370701.

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

It is a super-2 number, since 2×1070738882 = 22929634982873088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31173 + ... + 34436.

It is an arithmetic number, because the mean of its divisors is an integer number (6200145).

Almost surely, 2107073888 is an apocalyptic number.

It is an amenable number.

107073888 is an abundant number, since it is smaller than the sum of its proper divisors (190533072).

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

107073888 is a wasteful number, since it uses less digits than its factorization.

107073888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65639 (or 65631 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 107073888 is about 10347.6513277168. The cubic root of 107073888 is about 474.8551920543.

The spelling of 107073888 in words is "one hundred seven million, seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 65609 131218 196827 262436 393654 524872 787308 1049744 1115353 1574616 2099488 2230706 3149232 3346059 4461412 6298464 6692118 8922824 13384236 17845648 26768472 35691296 53536944 107073888