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107393808 = 24323891093
BaseRepresentation
bin1100110011010…
…11001100010000
321111002011121110
412121223030100
5204443100213
614353453320
72442555324
oct631531420
9244064543
10107393808
1155691615
122bb71240
1319332042
1410397984
1596655c3
hex666b310

107393808 has 80 divisors (see below), whose sum is σ = 293016960. Its totient is φ = 33825792.

The previous prime is 107393807. The next prime is 107393813. The reversal of 107393808 is 808393701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107393807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97710 + ... + 98802.

It is an arithmetic number, because the mean of its divisors is an integer number (3662712).

Almost surely, 2107393808 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 107393808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146508480).

107393808 is an abundant number, since it is smaller than the sum of its proper divisors (185623152).

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

107393808 is a wasteful number, since it uses less digits than its factorization.

107393808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 107393808 is about 10363.0983783809. The cubic root of 107393808 is about 475.3276527897.

The spelling of 107393808 in words is "one hundred seven million, three hundred ninety-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 712 1068 1093 1104 1424 2047 2136 2186 3279 4094 4272 4372 6141 6558 8188 8744 12282 13116 16376 17488 24564 25139 26232 32752 49128 50278 52464 75417 97277 98256 100556 150834 194554 201112 291831 301668 389108 402224 583662 603336 778216 1167324 1206672 1556432 2237371 2334648 4474742 4669296 6712113 8949484 13424226 17898968 26848452 35797936 53696904 107393808