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113666000 = 2453723353
BaseRepresentation
bin1101100011001…
…10011111010000
321220212211102212
412301212133100
5213044303000
615140131252
72550100520
oct661463720
9256784385
10113666000
1159185a48
1232096b28
131a719bb6
141114b680
159ea3c35
hex6c667d0

113666000 has 160 divisors (see below), whose sum is σ = 328693248. Its totient is φ = 37171200.

The previous prime is 113665987. The next prime is 113666011. The reversal of 113666000 is 666311.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 321824 + ... + 322176.

Almost surely, 2113666000 is an apocalyptic number.

113666000 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 113666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164346624).

113666000 is an abundant number, since it is smaller than the sum of its proper divisors (215027248).

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

113666000 is a wasteful number, since it uses less digits than its factorization.

113666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 113666000 is about 10661.4257958305. The cubic root of 113666000 is about 484.4067568496.

The spelling of 113666000 in words is "one hundred thirteen million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 353 368 400 460 500 560 575 644 700 706 805 875 920 1000 1150 1288 1400 1412 1610 1750 1765 1840 2000 2300 2471 2576 2800 2824 2875 3220 3500 3530 4025 4600 4942 5648 5750 6440 7000 7060 8050 8119 8825 9200 9884 11500 12355 12880 14000 14120 16100 16238 17650 19768 20125 23000 24710 28240 32200 32476 35300 39536 40250 40595 44125 46000 49420 56833 61775 64400 64952 70600 80500 81190 88250 98840 113666 123550 129904 141200 161000 162380 176500 197680 202975 227332 247100 284165 308875 322000 324760 353000 405950 454664 494200 568330 617750 649520 706000 811900 909328 988400 1014875 1136660 1235500 1420825 1623800 2029750 2273320 2471000 2841650 3247600 4059500 4546640 4942000 5683300 7104125 8119000 11366600 14208250 16238000 22733200 28416500 56833000 113666000