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136048400 = 2452340121
BaseRepresentation
bin10000001101111…
…10111100010000
3100110222222022122
420012332330100
5234312022100
621255553412
73241251365
oct1006767420
9313888278
10136048400
116a8831a4
123968b868
1322255817
14140d646c
15be25985
hex81bef10

136048400 has 30 divisors (see below), whose sum is σ = 326857242. Its totient is φ = 54419200.

The previous prime is 136048351. The next prime is 136048447. The reversal of 136048400 is 4840631.

It can be written as a sum of positive squares in 3 ways, for example, as 35808256 + 100240144 = 5984^2 + 10012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 136048400.

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 5 ways as a sum of consecutive naturals, for example, 169661 + ... + 170460.

Almost surely, 2136048400 is an apocalyptic number.

136048400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136048400 is an abundant number, since it is smaller than the sum of its proper divisors (190808842).

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

136048400 is a wasteful number, since it uses less digits than its factorization.

136048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340139 (or 340128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 136048400 is about 11663.9787379779. The cubic root of 136048400 is about 514.3173158124.

The spelling of 136048400 in words is "one hundred thirty-six million, forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 340121 680242 1360484 1700605 2720968 3401210 5441936 6802420 8503025 13604840 17006050 27209680 34012100 68024200 136048400