Search a number
-
+
113212992 = 2632331827
BaseRepresentation
bin1101011111101…
…11111001000000
321220000211000210
412233313321000
5212440303432
615122314120
72543203014
oct657677100
9256024023
10113212992
11589a6662
1231ab8940
131a5bb949
1411070544
159e148cc
hex6bf7e40

113212992 has 112 divisors (see below), whose sum is σ = 323039232. Its totient is φ = 34890240.

The previous prime is 113212991. The next prime is 113212997. The reversal of 113212992 is 299212311.

It is not an unprimeable number, because it can be changed into a prime (113212991) 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, 136483 + ... + 137309.

Almost surely, 2113212992 is an apocalyptic number.

113212992 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 113212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161519616).

113212992 is an abundant number, since it is smaller than the sum of its proper divisors (209826240).

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

113212992 is a wasteful number, since it uses less digits than its factorization.

113212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 113212992 is about 10640.1593973023. The cubic root of 113212992 is about 483.7623768108.

The spelling of 113212992 in words is "one hundred thirteen million, two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 827 992 1104 1426 1472 1488 1654 1984 2139 2208 2481 2852 2976 3308 4278 4416 4962 5704 5952 6616 8556 9924 11408 13232 17112 19021 19848 22816 25637 26464 34224 38042 39696 45632 51274 52928 57063 68448 76084 76911 79392 102548 114126 136896 152168 153822 158784 205096 228252 304336 307644 410192 456504 589651 608672 615288 820384 913008 1179302 1217344 1230576 1640768 1768953 1826016 2358604 2461152 3537906 3652032 4717208 4922304 7075812 9434416 14151624 18868832 28303248 37737664 56606496 113212992