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113468900 = 22521816269
BaseRepresentation
bin1101100001101…
…10010111100100
321220111211001212
412300312113210
5213022001100
615132010552
72545320056
oct660662744
9256454055
10113468900
1159060956
1232000a58
131a67b27c
14110d98d6
159e65635
hex6c365e4

113468900 has 36 divisors (see below), whose sum is σ = 247627380. Its totient is φ = 45129600.

The previous prime is 113468879. The next prime is 113468917. The reversal of 113468900 is 9864311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33616804 + 79852096 = 5798^2 + 8936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14966 + ... + 21234.

Almost surely, 2113468900 is an apocalyptic number.

113468900 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 113468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123813690).

113468900 is an abundant number, since it is smaller than the sum of its proper divisors (134158480).

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

113468900 is a wasteful number, since it uses less digits than its factorization.

113468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 113468900 is about 10652.1781810107. The cubic root of 113468900 is about 484.1266032670.

The spelling of 113468900 in words is "one hundred thirteen million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 6269 9050 12538 18100 25076 31345 62690 125380 156725 313450 626900 1134689 2269378 4538756 5673445 11346890 22693780 28367225 56734450 113468900