Search a number
-
+
113567232 = 293107691
BaseRepresentation
bin1101100010011…
…10011000000000
321220200210221210
412301032120000
5213033122412
615134050120
72546206542
oct661163000
9256623853
10113567232
1159118819
1232049940
131a6b3c5c
1411123692
159e8483c
hex6c4e600

113567232 has 80 divisors (see below), whose sum is σ = 305819712. Its totient is φ = 37447680.

The previous prime is 113567231. The next prime is 113567249. The reversal of 113567232 is 232765311.

It is a super-3 number, since 3×1135672323 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113567232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113567231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164007 + ... + 164697.

Almost surely, 2113567232 is an apocalyptic number.

113567232 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 113567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152909856).

113567232 is an abundant number, since it is smaller than the sum of its proper divisors (192252480).

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

113567232 is an equidigital number, since it uses as much as digits as its factorization.

113567232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 803 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 113567232 is about 10656.7927633036. The cubic root of 113567232 is about 484.2664107157.

The spelling of 113567232 in words is "one hundred thirteen million, five hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 691 768 856 1284 1382 1536 1712 2073 2568 2764 3424 4146 5136 5528 6848 8292 10272 11056 13696 16584 20544 22112 27392 33168 41088 44224 54784 66336 73937 82176 88448 132672 147874 164352 176896 221811 265344 295748 353792 443622 530688 591496 887244 1061376 1182992 1774488 2365984 3548976 4731968 7097952 9463936 14195904 18927872 28391808 37855744 56783616 113567232