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113134400 = 265270709
BaseRepresentation
bin1101011111001…
…00101101000000
321212212211012222
412233210231000
5212430300100
615120510212
72542424621
oct657445500
9255784188
10113134400
1158952605
1231a7b368
131a591c42
141104da48
159deb485
hex6be4b40

113134400 has 42 divisors (see below), whose sum is σ = 278385270. Its totient is φ = 45253120.

The previous prime is 113134393. The next prime is 113134409. The reversal of 113134400 is 4431311.

It can be written as a sum of positive squares in 3 ways, for example, as 31990336 + 81144064 = 5656^2 + 9008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113134409) 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 5 ways as a sum of consecutive naturals, for example, 33755 + ... + 36954.

Almost surely, 2113134400 is an apocalyptic number.

113134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113134400 is an abundant number, since it is smaller than the sum of its proper divisors (165250870).

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

113134400 is an equidigital number, since it uses as much as digits as its factorization.

113134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70731 (or 70716 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113134400 is about 10636.4655783771. The cubic root of 113134400 is about 483.6504089374.

Adding to 113134400 its reverse (4431311), we get a palindrome (117565711).

The spelling of 113134400 in words is "one hundred thirteen million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 70709 141418 282836 353545 565672 707090 1131344 1414180 1767725 2262688 2828360 3535450 4525376 5656720 7070900 11313440 14141800 22626880 28283600 56567200 113134400