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116544800 = 2552145681
BaseRepresentation
bin1101111001001…
…01010100100000
322010022002102002
412330211110200
5214313413200
615321543132
72613420521
oct674452440
9263262362
10116544800
115a871919
1233044aa8
131b1b7328
141169a848
15a371bd5
hex6f25520

116544800 has 36 divisors (see below), whose sum is σ = 284516946. Its totient is φ = 46617600.

The previous prime is 116544793. The next prime is 116544811. The reversal of 116544800 is 8445611.

116544800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 48052624 + 68492176 = 6932^2 + 8276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72041 + ... + 73640.

Almost surely, 2116544800 is an apocalyptic number.

116544800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116544800 is an abundant number, since it is smaller than the sum of its proper divisors (167972146).

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

116544800 is a wasteful number, since it uses less digits than its factorization.

116544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145701 (or 145688 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 116544800 is about 10795.5916929087. The cubic root of 116544800 is about 488.4622065358.

The spelling of 116544800 in words is "one hundred sixteen million, five hundred forty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 145681 291362 582724 728405 1165448 1456810 2330896 2913620 3642025 4661792 5827240 7284050 11654480 14568100 23308960 29136200 58272400 116544800