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113941800 = 23325279043
BaseRepresentation
bin1101100101010…
…01110100101000
321221101211202200
412302221310220
5213132114200
615150100200
72552326560
oct662516450
9257354680
10113941800
1159354185
12321aa660
131a7b55ab
14111bdda0
15a00a800
hex6ca9d28

113941800 has 144 divisors (see below), whose sum is σ = 437367840. Its totient is φ = 26040960.

The previous prime is 113941799. The next prime is 113941801. The reversal of 113941800 is 8149311.

It is an interprime number because it is at equal distance from previous prime (113941799) and next prime (113941801).

It is not an unprimeable number, because it can be changed into a prime (113941801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8079 + ... + 17121.

Almost surely, 2113941800 is an apocalyptic number.

113941800 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 113941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218683920).

113941800 is an abundant number, since it is smaller than the sum of its proper divisors (323426040).

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

113941800 is a wasteful number, since it uses less digits than its factorization.

113941800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113941800 is about 10674.3524393754. The cubic root of 113941800 is about 484.7982297423.

The spelling of 113941800 in words is "one hundred thirteen million, nine hundred forty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 9043 12600 18086 27129 36172 45215 54258 63301 72344 81387 90430 108516 126602 135645 162774 180860 189903 217032 226075 253204 271290 316505 325548 361720 379806 406935 452150 506408 542580 569709 633010 651096 678225 759612 813870 904300 949515 1085160 1139418 1266020 1356450 1519224 1582525 1627740 1808600 1899030 2034675 2278836 2532040 2712900 2848545 3165050 3255480 3798060 4069350 4557672 4747575 5425800 5697090 6330100 7596120 8138700 9495150 11394180 12660200 14242725 16277400 18990300 22788360 28485450 37980600 56970900 113941800