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136024992 = 2532472309
BaseRepresentation
bin10000001101110…
…01001110100000
3100110221210012200
420012321032200
5234310244432
621255253200
73241123215
oct1006711640
9313853180
10136024992
116a867654
123967a200
1322247c7c
14140cbb0c
15be1da7c
hex81b93a0

136024992 has 36 divisors (see below), whose sum is σ = 386821890. Its totient is φ = 45341568.

The previous prime is 136024991. The next prime is 136025011. The reversal of 136024992 is 299420631.

136024992 is a `hidden beast` number, since 1 + 3 + 602 + 49 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97535376 + 38489616 = 9876^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136024991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235867 + ... + 236442.

Almost surely, 2136024992 is an apocalyptic number.

136024992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136024992 is an abundant number, since it is smaller than the sum of its proper divisors (250796898).

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

136024992 is a wasteful number, since it uses less digits than its factorization.

136024992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472325 (or 472314 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136024992 is about 11662.9752636281. The cubic root of 136024992 is about 514.2878169226.

The spelling of 136024992 in words is "one hundred thirty-six million, twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 472309 944618 1416927 1889236 2833854 3778472 4250781 5667708 7556944 8501562 11335416 15113888 17003124 22670832 34006248 45341664 68012496 136024992