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113089536 = 2103271753
BaseRepresentation
bin1101011110110…
…01110000000000
321212210112200100
412233121300000
5212422331121
615115522400
72542150050
oct657316000
9255715610
10113089536
115892192a
1231a59400
131a5776b1
141103b560
159ddd026
hex6bd9c00

113089536 has 132 divisors (see below), whose sum is σ = 373405552. Its totient is φ = 32292864.

The previous prime is 113089523. The next prime is 113089553. The reversal of 113089536 is 635980311.

It is a happy number.

113089536 is a `hidden beast` number, since 11 + 30 + 89 + 536 = 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 113089536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63636 + ... + 65388.

Almost surely, 2113089536 is an apocalyptic number.

113089536 is a gapful number since it is divisible by the number (16) 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 113089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186702776).

113089536 is an abundant number, since it is smaller than the sum of its proper divisors (260316016).

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

113089536 is a wasteful number, since it uses less digits than its factorization.

113089536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113089536 is about 10634.3563980149. The cubic root of 113089536 is about 483.5864691726.

The spelling of 113089536 in words is "one hundred thirteen million, eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1753 1792 2016 2304 2688 3072 3506 3584 4032 4608 5259 5376 7012 7168 8064 9216 10518 10752 12271 14024 15777 16128 21036 21504 24542 28048 31554 32256 36813 42072 49084 56096 63108 64512 73626 84144 98168 110439 112192 126216 147252 168288 196336 220878 224384 252432 294504 336576 392672 441756 448768 504864 589008 673152 785344 883512 897536 1009728 1178016 1346304 1570688 1767024 1795072 2019456 2356032 2692608 3141376 3534048 4038912 4712064 5385216 6282752 7068096 8077824 9424128 12565504 14136192 16155648 18848256 28272384 37696512 56544768 113089536