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107417136 = 24310122157
BaseRepresentation
bin1100110011100…
…00111000110000
321111010100121110
412121300320300
5204444322021
614354153320
72443013331
oct631607060
9244110543
10107417136
11556a80a2
122bb82840
131933c848
14103a2288
15966c476
hex6670e30

107417136 has 40 divisors (see below), whose sum is σ = 280254384. Its totient is φ = 35449600.

The previous prime is 107417119. The next prime is 107417161. The reversal of 107417136 is 631714701.

It is a super-2 number, since 2×1074171362 = 23076882212884992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6231 + ... + 15926.

Almost surely, 2107417136 is an apocalyptic number.

107417136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107417136 is an abundant number, since it is smaller than the sum of its proper divisors (172837248).

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

107417136 is a wasteful number, since it uses less digits than its factorization.

107417136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22269 (or 22263 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 107417136 is about 10364.2238493772. The cubic root of 107417136 is about 475.3620670665.

The spelling of 107417136 in words is "one hundred seven million, four hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 22157 44314 66471 88628 132942 177256 265884 354512 531768 1063536 2237857 4475714 6713571 8951428 13427142 17902856 26854284 35805712 53708568 107417136