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107131374 = 23275914411
BaseRepresentation
bin1100110001010…
…11000111101110
321110120211121200
412120223013232
5204411200444
614344110330
72440413240
oct630530756
9243524550
10107131374
1155522429
122ba653a6
131926c75c
141032a090
159612969
hex662b1ee

107131374 has 48 divisors (see below), whose sum is σ = 269792640. Its totient is φ = 30088080.

The previous prime is 107131373. The next prime is 107131379. The reversal of 107131374 is 473131701.

It is a super-2 number, since 2×1071313742 = 22954262590255752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107131373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (5620680).

Almost surely, 2107131374 is an apocalyptic number.

107131374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107131374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134896320).

107131374 is an abundant number, since it is smaller than the sum of its proper divisors (162661266).

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

107131374 is a wasteful number, since it uses less digits than its factorization.

107131374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14485 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107131374 is about 10350.4286867743. The cubic root of 107131374 is about 474.9401571886.

The spelling of 107131374 in words is "one hundred seven million, one hundred thirty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 7434 14411 28822 43233 86466 100877 129699 201754 259398 302631 605262 850249 907893 1700498 1815786 2550747 5101494 5951743 7652241 11903486 15304482 17855229 35710458 53565687 107131374