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107364060 = 223251931393
BaseRepresentation
bin1100110011000…
…11111011011100
321111000122210200
412121203323130
5204441122220
614353103500
72442402516
oct631437334
9244018720
10107364060
1155671231
122bb57b90
131932163b
141038abb6
15965b890
hex6663edc

107364060 has 72 divisors (see below), whose sum is σ = 342822480. Its totient is φ = 27122688.

The previous prime is 107364053. The next prime is 107364071. The reversal of 107364060 is 60463701.

107364060 is a `hidden beast` number, since 10 + 7 + 3 + 640 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12277 + ... + 19116.

Almost surely, 2107364060 is an apocalyptic number.

107364060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107364060 is an abundant number, since it is smaller than the sum of its proper divisors (235458420).

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

107364060 is a wasteful number, since it uses less digits than its factorization.

107364060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31427 (or 31422 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 107364060 is about 10361.6629939407. The cubic root of 107364060 is about 475.2837602752.

The spelling of 107364060 in words is "one hundred seven million, three hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 31393 62786 94179 125572 156965 188358 282537 313930 376716 470895 565074 596467 627860 941790 1130148 1192934 1412685 1789401 1883580 2385868 2825370 2982335 3578802 5368203 5650740 5964670 7157604 8947005 10736406 11929340 17894010 21472812 26841015 35788020 53682030 107364060