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107320728 = 23317215473
BaseRepresentation
bin1100110010110…
…01010110011000
321110221110100210
412121121112120
5204433230403
614352131120
72442132264
oct631312630
9243843323
10107320728
1155641719
122bb36aa0
13193079b8
14103790a4
15964db03
hex6659598

107320728 has 48 divisors (see below), whose sum is σ = 285031080. Its totient is φ = 33667072.

The previous prime is 107320727. The next prime is 107320751. The reversal of 107320728 is 827023701.

It is a junction number, because it is equal to n+sod(n) for n = 107320695 and 107320704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107320727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801 + ... + 14672.

Almost surely, 2107320728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107320728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142515540).

107320728 is an abundant number, since it is smaller than the sum of its proper divisors (177710352).

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

107320728 is a wasteful number, since it uses less digits than its factorization.

107320728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 15495 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107320728 is about 10359.5718058229. The cubic root of 107320728 is about 475.2198103612.

The spelling of 107320728 in words is "one hundred seven million, three hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 15473 30946 46419 61892 92838 123784 185676 263041 371352 526082 789123 1052164 1578246 2104328 3156492 4471697 6312984 8943394 13415091 17886788 26830182 35773576 53660364 107320728