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113639900 = 2252111759103
BaseRepresentation
bin1101100011000…
…00000111011100
321220211111122012
412301200013130
5213042434100
615135410352
72546631443
oct661400734
9256744565
10113639900
1159168380
12320839b8
131a70b05a
1411141d5a
159e9b135
hex6c601dc

113639900 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 37862400.

The previous prime is 113639891. The next prime is 113639921. The reversal of 113639900 is 9936311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103249 + ... + 1103351.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2113639900 is an apocalyptic number.

113639900 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 113639900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

113639900 is an abundant number, since it is smaller than the sum of its proper divisors (178841380).

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

113639900 is a wasteful number, since it uses less digits than its factorization.

113639900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 113639900 is about 10660.2016866474. The cubic root of 113639900 is about 484.3696774996.

The spelling of 113639900 in words is "one hundred thirteen million, six hundred thirty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 59 68 85 100 103 110 118 170 187 206 220 236 275 295 340 374 412 425 515 550 590 649 748 850 935 1003 1030 1100 1133 1180 1298 1475 1700 1751 1870 2006 2060 2266 2575 2596 2950 3245 3502 3740 4012 4532 4675 5015 5150 5665 5900 6077 6490 7004 8755 9350 10030 10300 11033 11330 12154 12980 16225 17510 18700 19261 20060 22066 22660 24308 25075 28325 30385 32450 35020 38522 43775 44132 50150 55165 56650 60770 64900 66847 77044 87550 96305 100300 103309 110330 113300 121540 133694 151925 175100 192610 206618 220660 267388 275825 303850 334235 385220 413236 481525 516545 551650 607700 668470 963050 1033090 1103300 1136399 1336940 1671175 1926100 2066180 2272798 2582725 3342350 4545596 5165450 5681995 6684700 10330900 11363990 22727980 28409975 56819950 113639900