Search a number
-
+
113627640 = 23357135271
BaseRepresentation
bin1101100010111…
…01000111111000
321220210212211010
412301131013320
5213042041030
615135233520
72546550630
oct661350770
9256725733
10113627640
115915a145
12320788a0
131a7055b9
141113b6c0
159e976b0
hex6c5d1f8

113627640 has 64 divisors (see below), whose sum is σ = 389583360. Its totient is φ = 25971840.

The previous prime is 113627627. The next prime is 113627641. The reversal of 113627640 is 46726311.

It is a super-2 number, since 2×1136276402 = 25822481143939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113627598 and 113627607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113627641) 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, 66796 + ... + 68475.

It is an arithmetic number, because the mean of its divisors is an integer number (6087240).

Almost surely, 2113627640 is an apocalyptic number.

113627640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113627640 is an abundant number, since it is smaller than the sum of its proper divisors (275955720).

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

113627640 is a wasteful number, since it uses less digits than its factorization.

113627640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135292 (or 135288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 113627640 is about 10659.6266351125. The cubic root of 113627640 is about 484.3522581900.

The spelling of 113627640 in words is "one hundred thirteen million, six hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 135271 270542 405813 541084 676355 811626 946897 1082168 1352710 1623252 1893794 2029065 2705420 2840691 3246504 3787588 4058130 4734485 5410840 5681382 7575176 8116260 9468970 11362764 14203455 16232520 18937940 22725528 28406910 37875880 56813820 113627640