Search a number
-
+
113551632 = 2434412137
BaseRepresentation
bin1101100010010…
…10100100010000
321220200000120000
412301022210100
5213032123012
615133450000
72546113215
oct661124420
9256600500
10113551632
1159108027
1232040900
131a6a9b1c
141111bb0c
159e7eddc
hex6c4a910

113551632 has 100 divisors (see below), whose sum is σ = 336824796. Its totient is φ = 36910080.

The previous prime is 113551609. The next prime is 113551637. The reversal of 113551632 is 236155311.

113551632 is a `hidden beast` number, since 113 + 5 + 516 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 108243216 = 2304^2 + 10404^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113551596 and 113551605.

It is not an unprimeable number, because it can be changed into a prime (113551637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52068 + ... + 54204.

Almost surely, 2113551632 is an apocalyptic number.

113551632 is a gapful number since it is divisible by the number (12) 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 113551632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412398).

113551632 is an abundant number, since it is smaller than the sum of its proper divisors (223273164).

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

113551632 is a wasteful number, since it uses less digits than its factorization.

113551632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2183 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 113551632 is about 10656.0608106373. The cubic root of 113551632 is about 484.2442361800.

The spelling of 113551632 in words is "one hundred thirteen million, five hundred fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2137 2214 2952 3321 4274 4428 5904 6411 6642 8548 8856 12822 13284 17096 17712 19233 25644 26568 34192 38466 51288 53136 57699 76932 87617 102576 115398 153864 173097 175234 230796 262851 307728 346194 350468 461592 525702 692388 700936 788553 923184 1051404 1384776 1401872 1577106 2102808 2365659 2769552 3154212 4205616 4731318 6308424 7096977 9462636 12616848 14193954 18925272 28387908 37850544 56775816 113551632