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107405352 = 2334165749
BaseRepresentation
bin1100110011011…
…10000000101000
321111002202110000
412121232000220
5204443432402
614354023000
72442634065
oct631560050
9244082400
10107405352
115569a25a
122bb77a60
1319337382
141039bc6c
159668c1c
hex666e028

107405352 has 40 divisors (see below), whose sum is σ = 300836250. Its totient is φ = 35801568.

The previous prime is 107405341. The next prime is 107405369. The reversal of 107405352 is 253504701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56340036 + 51065316 = 7506^2 + 7146^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82227 + ... + 83522.

Almost surely, 2107405352 is an apocalyptic number.

107405352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107405352 is an abundant number, since it is smaller than the sum of its proper divisors (193430898).

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

107405352 is a wasteful number, since it uses less digits than its factorization.

107405352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165767 (or 165754 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 107405352 is about 10363.6553396955. The cubic root of 107405352 is about 475.3446835227.

The spelling of 107405352 in words is "one hundred seven million, four hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 165749 331498 497247 662996 994494 1325992 1491741 1988988 2983482 3977976 4475223 5966964 8950446 11933928 13425669 17900892 26851338 35801784 53702676 107405352