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107323328 = 26734889
BaseRepresentation
bin1100110010110…
…01111111000000
321110221120221002
412121121333000
5204433321303
614352151132
72442143000
oct631317700
9243846832
10107323328
1155643672
122bb384a8
1319308c38
141037a000
15964e788
hex6659fc0

107323328 has 56 divisors (see below), whose sum is σ = 248412000. Its totient is φ = 45986304.

The previous prime is 107323327. The next prime is 107323361. The reversal of 107323328 is 823323701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 107323328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107323327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19508 + ... + 24396.

Almost surely, 2107323328 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 107323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124206000).

107323328 is an abundant number, since it is smaller than the sum of its proper divisors (141088672).

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

107323328 is an frugal number, since it uses more digits than its factorization.

107323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 107323328 is about 10359.6972928749. The cubic root of 107323328 is about 475.2236479595.

The spelling of 107323328 in words is "one hundred seven million, three hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 4889 5488 9778 10976 19556 21952 34223 39112 68446 78224 136892 156448 239561 273784 312896 479122 547568 958244 1095136 1676927 1916488 2190272 3353854 3832976 6707708 7665952 13415416 15331904 26830832 53661664 107323328