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107017512 = 23372113019
BaseRepresentation
bin1100110000011…
…11010100101000
321110101001102120
412120033110220
5204344030022
614341431240
72436430260
oct630172450
9243331376
10107017512
1155454928
122ba0b520
131922c994
14102da7a0
1595ddd5c
hex660f528

107017512 has 64 divisors (see below), whose sum is σ = 307315200. Its totient is φ = 30421440.

The previous prime is 107017457. The next prime is 107017513. The reversal of 107017512 is 215710701.

It is a happy number.

It is a super-2 number, since 2×1070175122 = 22905495749340288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (107017513) 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, 33939 + ... + 36957.

It is an arithmetic number, because the mean of its divisors is an integer number (4801800).

Almost surely, 2107017512 is an apocalyptic number.

107017512 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 107017512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153657600).

107017512 is an abundant number, since it is smaller than the sum of its proper divisors (200297688).

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

107017512 is a wasteful number, since it uses less digits than its factorization.

107017512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 107017512 is about 10344.9268726270. The cubic root of 107017512 is about 474.7718379750.

The spelling of 107017512 in words is "one hundred seven million, seventeen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 3019 4431 5064 5908 6038 8862 9057 11816 12076 17724 18114 21133 24152 35448 36228 42266 63399 72456 84532 126798 169064 253596 507192 637009 1274018 1911027 2548036 3822054 4459063 5096072 7644108 8918126 13377189 15288216 17836252 26754378 35672504 53508756 107017512