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107065392 = 24374929
BaseRepresentation
bin1100110000110…
…11000000110000
321110110111002220
412120123000300
5204402043032
614342441040
72440020000
oct630330060
9243414086
10107065392
11554878a5
122ba33180
1319248705
1410310000
1595ed12c
hex661b030

107065392 has 100 divisors (see below), whose sum is σ = 323011320. Its totient is φ = 30557184.

The previous prime is 107065349. The next prime is 107065393. The reversal of 107065392 is 293560701.

It is a super-2 number, since 2×1070653922 = 22925996328227328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107065393) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114784 + ... + 115712.

Almost surely, 2107065392 is an apocalyptic number.

107065392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107065392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161505660).

107065392 is an abundant number, since it is smaller than the sum of its proper divisors (215945928).

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

107065392 is an frugal number, since it uses more digits than its factorization.

107065392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 107065392 is about 10347.2407916314. The cubic root of 107065392 is about 474.8426322649.

The spelling of 107065392 in words is "one hundred seven million, sixty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 929 1029 1176 1372 1858 2058 2352 2401 2744 2787 3716 4116 4802 5488 5574 6503 7203 7432 8232 9604 11148 13006 14406 14864 16464 19208 19509 22296 26012 28812 38416 39018 44592 45521 52024 57624 78036 91042 104048 115248 136563 156072 182084 273126 312144 318647 364168 546252 637294 728336 955941 1092504 1274588 1911882 2185008 2230529 2549176 3823764 4461058 5098352 6691587 7647528 8922116 13383174 15295056 17844232 26766348 35688464 53532696 107065392