Search a number
-
+
113858000 = 245356929
BaseRepresentation
bin1101100100101…
…01010111010000
321221020120210222
412302111113100
5213121424000
615144212212
72551530344
oct662252720
9257216728
10113858000
11592a7223
123216a068
131a7863c9
141119b624
159ee0a85
hex6c955d0

113858000 has 40 divisors (see below), whose sum is σ = 275313480. Its totient is φ = 45542400.

The previous prime is 113857999. The next prime is 113858029. The reversal of 113858000 is 858311.

It can be written as a sum of positive squares in 4 ways, for example, as 31629376 + 82228624 = 5624^2 + 9068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 26465 + ... + 30464.

It is an arithmetic number, because the mean of its divisors is an integer number (6882837).

Almost surely, 2113858000 is an apocalyptic number.

113858000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113858000 is an abundant number, since it is smaller than the sum of its proper divisors (161455480).

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

113858000 is an equidigital number, since it uses as much as digits as its factorization.

113858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56952 (or 56936 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 113858000 is about 10670.4264207200. The cubic root of 113858000 is about 484.6793501757.

The spelling of 113858000 in words is "one hundred thirteen million, eight hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 56929 113858 227716 284645 455432 569290 910864 1138580 1423225 2277160 2846450 4554320 5692900 7116125 11385800 14232250 22771600 28464500 56929000 113858000