Search a number
-
+
113663472 = 24313199587
BaseRepresentation
bin1101100011001…
…01110111110000
321220212200222020
412301211313300
5213044212342
615140111440
72550060246
oct661456760
9256780866
10113663472
115918405a
1232095580
131a7189c0
141114a796
159ea30ec
hex6c65df0

113663472 has 80 divisors (see below), whose sum is σ = 332895360. Its totient is φ = 33129216.

The previous prime is 113663471. The next prime is 113663477. The reversal of 113663472 is 274366311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113663471) 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, 7063 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (4161192).

Almost surely, 2113663472 is an apocalyptic number.

113663472 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 113663472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166447680).

113663472 is an abundant number, since it is smaller than the sum of its proper divisors (219231888).

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

113663472 is a wasteful number, since it uses less digits than its factorization.

113663472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630 (or 9624 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 113663472 is about 10661.3072369199. The cubic root of 113663472 is about 484.4031656574.

The spelling of 113663472 in words is "one hundred thirteen million, six hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 9587 11856 19174 28761 38348 57522 76696 115044 124631 153392 182153 230088 249262 364306 373893 460176 498524 546459 728612 747786 997048 1092918 1457224 1495572 1994096 2185836 2367989 2914448 2991144 4371672 4735978 5982288 7103967 8743344 9471956 14207934 18943912 28415868 37887824 56831736 113663472