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113663844 = 22337251599
BaseRepresentation
bin1101100011001…
…01111101100100
321220212201111000
412301211331210
5213044220334
615140113300
72550061320
oct661457544
9256781430
10113663844
1159184368
1232095830
131a718c18
141114a980
159ea3299
hex6c65f64

113663844 has 96 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 32292000.

The previous prime is 113663839. The next prime is 113663863. The reversal of 113663844 is 448366311.

It is a happy number.

113663844 is a `hidden beast` number, since 1 + 13 + 6 + 638 + 4 + 4 = 666.

113663844 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

113663844 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 113663799 and 113663808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189457 + ... + 190055.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2113663844 is an apocalyptic number.

113663844 is a gapful number since it is divisible by the number (14) 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 113663844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

113663844 is an abundant number, since it is smaller than the sum of its proper divisors (225024156).

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

113663844 is a wasteful number, since it uses less digits than its factorization.

113663844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 113663844 is about 10661.3246831714. The cubic root of 113663844 is about 484.4036941115.

It can be divided in two parts, 1136 and 63844, that added together give a triangular number (64980 = T360).

The spelling of 113663844 in words is "one hundred thirteen million, six hundred sixty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 251 252 378 502 599 753 756 1004 1198 1506 1757 1797 2259 2396 3012 3514 3594 4193 4518 5271 5391 6777 7028 7188 8386 9036 10542 10782 12579 13554 15813 16173 16772 21084 21564 25158 27108 31626 32346 37737 47439 50316 63252 64692 75474 94878 113211 150349 150948 189756 226422 300698 451047 452844 601396 902094 1052443 1353141 1804188 2104886 2706282 3157329 4059423 4209772 5412564 6314658 8118846 9471987 12629316 16237692 18943974 28415961 37887948 56831922 113663844