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113454200 = 23523531607
BaseRepresentation
bin1101100001100…
…10110001111000
321220111001220102
412300302301320
5213021013300
615131414532
72545226156
oct660626170
9256431812
10113454200
1159050902
1231bb4448
131a674682
14110d43d6
159e610d5
hex6c32c78

113454200 has 48 divisors (see below), whose sum is σ = 264692880. Its totient is φ = 45224960.

The previous prime is 113454197. The next prime is 113454223. The reversal of 113454200 is 2454311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 69797 + ... + 71403.

It is an arithmetic number, because the mean of its divisors is an integer number (5514435).

Almost surely, 2113454200 is an apocalyptic number.

113454200 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 113454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132346440).

113454200 is an abundant number, since it is smaller than the sum of its proper divisors (151238680).

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

113454200 is a wasteful number, since it uses less digits than its factorization.

113454200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 113454200 is about 10651.4881589382. The cubic root of 113454200 is about 484.1056960157.

The spelling of 113454200 in words is "one hundred thirteen million, four hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1607 1765 2824 3214 3530 6428 7060 8035 8825 12856 14120 16070 17650 32140 35300 40175 64280 70600 80350 160700 321400 567271 1134542 2269084 2836355 4538168 5672710 11345420 14181775 22690840 28363550 56727100 113454200