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113566420 = 2251119101269
BaseRepresentation
bin1101100010011…
…10001011010100
321220200202211201
412301032023110
5213033111140
615134042244
72546204302
oct661161324
9256622751
10113566420
1159118150
1232049384
131a6b3786
1411123272
159e8449a
hex6c4e2d4

113566420 has 96 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 38592000.

The previous prime is 113566391. The next prime is 113566441. The reversal of 113566420 is 24665311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422046 + ... + 422314.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2113566420 is an apocalyptic number.

113566420 is a gapful number since it is divisible by the number (10) 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 113566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

113566420 is an abundant number, since it is smaller than the sum of its proper divisors (164036780).

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

113566420 is a wasteful number, since it uses less digits than its factorization.

113566420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 113566420 is about 10656.7546654692. The cubic root of 113566420 is about 484.2652565528.

The spelling of 113566420 in words is "one hundred thirteen million, five hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 190 202 209 220 269 380 404 418 505 538 836 1010 1045 1076 1111 1345 1919 2020 2090 2222 2690 2959 3838 4180 4444 5111 5380 5555 5918 7676 9595 10222 11110 11836 14795 19190 20444 21109 22220 25555 27169 29590 38380 42218 51110 54338 56221 59180 84436 102220 105545 108676 112442 135845 211090 224884 271690 281105 298859 422180 516211 543380 562210 597718 1032422 1124420 1195436 1494295 2064844 2581055 2988590 5162110 5678321 5977180 10324220 11356642 22713284 28391605 56783210 113566420