Search a number
-
+
107237364 = 223134491531
BaseRepresentation
bin1100110010001…
…00111111110100
321110210020000020
412121010333310
5204423043424
614350245140
72441334243
oct631047764
9243706006
10107237364
1155595023
122bab67b0
13192a8a80
141035695a
159634079
hex6644ff4

107237364 has 48 divisors (see below), whose sum is σ = 270244800. Its totient is φ = 32901120.

The previous prime is 107237363. The next prime is 107237381. The reversal of 107237364 is 463732701.

It is a super-2 number, since 2×1072373642 = 22999704475336992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107237363) 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, 69279 + ... + 70809.

It is an arithmetic number, because the mean of its divisors is an integer number (5630100).

Almost surely, 2107237364 is an apocalyptic number.

It is an amenable number.

107237364 is an abundant number, since it is smaller than the sum of its proper divisors (163007436).

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

107237364 is a wasteful number, since it uses less digits than its factorization.

107237364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 107237364 is about 10355.5474988047. The cubic root of 107237364 is about 475.0967322847.

The spelling of 107237364 in words is "one hundred seven million, two hundred thirty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 449 898 1347 1531 1796 2694 3062 4593 5388 5837 6124 9186 11674 17511 18372 19903 23348 35022 39806 59709 70044 79612 119418 238836 687419 1374838 2062257 2749676 4124514 8249028 8936447 17872894 26809341 35745788 53618682 107237364