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113966370 = 23257199521
BaseRepresentation
bin1101100101011…
…11110100100010
321221110002110200
412302233310202
5213133410440
615150410030
72552461320
oct662576442
9257402420
10113966370
1159370691
1232200916
131a7c382b
14111c8d10
15a012c30
hex6cafd22

113966370 has 96 divisors (see below), whose sum is σ = 356503680. Its totient is φ = 24675840.

The previous prime is 113966291. The next prime is 113966381. The reversal of 113966370 is 73669311.

113966370 is a `hidden beast` number, since 1 + 13 + 9 + 6 + 637 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7210 + ... + 16730.

It is an arithmetic number, because the mean of its divisors is an integer number (3713580).

Almost surely, 2113966370 is an apocalyptic number.

113966370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113966370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178251840).

113966370 is an abundant number, since it is smaller than the sum of its proper divisors (242537310).

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

113966370 is a wasteful number, since it uses less digits than its factorization.

113966370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 113966370 is about 10675.5032668254. The cubic root of 113966370 is about 484.8330739534.

It can be divided in two parts, 11396 and 6370, that added together give a triangular number (17766 = T188).

The spelling of 113966370 in words is "one hundred thirteen million, nine hundred sixty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 9521 11970 19042 28563 47605 57126 66647 85689 95210 133294 142815 171378 180899 199941 285630 333235 361798 399882 428445 542697 599823 666470 856890 904495 999705 1085394 1199646 1266293 1628091 1808990 1999410 2532586 2713485 2999115 3256182 3798879 5426970 5998230 6331465 7597758 8140455 11396637 12662930 16280910 18994395 22793274 37988790 56983185 113966370