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107007372 = 2233990809
BaseRepresentation
bin1100110000011…
…00110110001100
321110100112112000
412120030312030
5204343213442
614341312300
72436355563
oct630146614
9243315460
10107007372
115544824a
122ba05690
1319228194
14102d6bda
1595dad4c
hex660cd8c

107007372 has 24 divisors (see below), whose sum is σ = 277426800. Its totient is φ = 35669088.

The previous prime is 107007353. The next prime is 107007377. The reversal of 107007372 is 273700701.

It is a super-2 number, since 2×1070073722 = 22901155324692768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107007377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495297 + ... + 495512.

It is an arithmetic number, because the mean of its divisors is an integer number (11559450).

Almost surely, 2107007372 is an apocalyptic number.

107007372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107007372 is an abundant number, since it is smaller than the sum of its proper divisors (170419428).

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

107007372 is a wasteful number, since it uses less digits than its factorization.

107007372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990822 (or 990814 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 107007372 is about 10344.4367657210. The cubic root of 107007372 is about 474.7568424900.

The spelling of 107007372 in words is "one hundred seven million, seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 990809 1981618 2972427 3963236 5944854 8917281 11889708 17834562 26751843 35669124 53503686 107007372