Search a number
-
+
113554476 = 22327557809
BaseRepresentation
bin1101100010010…
…11010000101100
321220200011110100
412301023100230
5213032220401
615133511100
72546124420
oct661132054
9256604410
10113554476
115910a182
1232042490
131a6ab1c9
141111cb80
159e80b86
hex6c4b42c

113554476 has 72 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 32345856.

The previous prime is 113554471. The next prime is 113554487. The reversal of 113554476 is 674455311.

113554476 is a `hidden beast` number, since 1 + 135 + 54 + 476 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113554476.

It is not an unprimeable number, because it can be changed into a prime (113554471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139960 + ... + 140768.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2113554476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113554476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

113554476 is an abundant number, since it is smaller than the sum of its proper divisors (215486964).

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

113554476 is a wasteful number, since it uses less digits than its factorization.

113554476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1378 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 113554476 is about 10656.1942549862. The cubic root of 113554476 is about 484.2482789198.

It can be divided in two parts, 1135 and 54476, that added together give a triangular number (55611 = T333).

The spelling of 113554476 in words is "one hundred thirteen million, five hundred fifty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557 809 1114 1618 1671 2228 2427 3236 3342 3899 4854 5013 5663 6684 7281 7798 9708 10026 11326 11697 14562 15596 16989 20052 22652 23394 29124 33978 35091 46788 50967 67956 70182 101934 140364 203868 450613 901226 1351839 1802452 2703678 3154291 4055517 5407356 6308582 8111034 9462873 12617164 16222068 18925746 28388619 37851492 56777238 113554476