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113925960 = 23335372851
BaseRepresentation
bin1101100101001…
…01111101001000
321221101001001000
412302211331020
5213131112320
615145455000
72552232441
oct662457510
9257331030
10113925960
1159343295
12321a1460
131a7ab315
14111b82c8
15a005c90
hex6ca5f48

113925960 has 128 divisors (see below), whose sum is σ = 390153600. Its totient is φ = 29548800.

The previous prime is 113925953. The next prime is 113925967. The reversal of 113925960 is 69529311.

It is an interprime number because it is at equal distance from previous prime (113925953) and next prime (113925967).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113925967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38535 + ... + 41385.

It is an arithmetic number, because the mean of its divisors is an integer number (3048075).

Almost surely, 2113925960 is an apocalyptic number.

113925960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113925960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195076800).

113925960 is an abundant number, since it is smaller than the sum of its proper divisors (276227640).

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

113925960 is a wasteful number, since it uses less digits than its factorization.

113925960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 113925960 is about 10673.6104482036. The cubic root of 113925960 is about 484.7757634193.

The spelling of 113925960 in words is "one hundred thirteen million, nine hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 2851 3330 3996 4440 4995 5702 6660 7992 8553 9990 11404 13320 14255 17106 19980 22808 25659 28510 34212 39960 42765 51318 57020 68424 76977 85530 102636 105487 114040 128295 153954 171060 205272 210974 256590 307908 316461 342120 384885 421948 513180 527435 615816 632922 769770 843896 949383 1026360 1054870 1265844 1539540 1582305 1898766 2109740 2531688 2848149 3079080 3164610 3797532 4219480 4746915 5696298 6329220 7595064 9493830 11392596 12658440 14240745 18987660 22785192 28481490 37975320 56962980 113925960