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113460000 = 253543161
BaseRepresentation
bin1101100001101…
…00001100100000
321220111100212020
412300310030200
5213021210000
615131501440
72545252113
oct660641440
9256440766
10113460000
11590551a5
1231bb7880
131a6771c4
14110d657a
159e62ba0
hex6c34320

113460000 has 240 divisors, whose sum is σ = 390475008. Its totient is φ = 28800000.

The previous prime is 113459999. The next prime is 113460007. The reversal of 113460000 is 64311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113460007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1859970 + ... + 1860030.

Almost surely, 2113460000 is an apocalyptic number.

113460000 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 113460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195237504).

113460000 is an abundant number, since it is smaller than the sum of its proper divisors (277015008).

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

113460000 is an equidigital number, since it uses as much as digits as its factorization.

113460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113460000 is about 10651.7604178840. The cubic root of 113460000 is about 484.1139453510.

The spelling of 113460000 in words is "one hundred thirteen million, four hundred sixty thousand".