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136404880 = 2457323357
BaseRepresentation
bin10000010000101…
…01111110010000
3100111200002022121
420020111332100
5234404424010
621311344024
73244264603
oct1010257620
9314602277
10136404880
116aaa7007
1239822014
132234bb61
141418a33a
15be963da
hex8215f90

136404880 has 40 divisors (see below), whose sum is σ = 321499512. Its totient is φ = 53812224.

The previous prime is 136404847. The next prime is 136404883. The reversal of 136404880 is 88404631.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 102252544 = 5844^2 + 10112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (136404883) 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 7 ways as a sum of consecutive naturals, for example, 5839 + ... + 17518.

Almost surely, 2136404880 is an apocalyptic number.

136404880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136404880 is the 5840-th decagonal number.

It is an amenable number.

136404880 is an abundant number, since it is smaller than the sum of its proper divisors (185094632).

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

136404880 is a wasteful number, since it uses less digits than its factorization.

136404880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23443 (or 23437 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 136404880 is about 11679.2499759188. The cubic root of 136404880 is about 514.7661363161.

The spelling of 136404880 in words is "one hundred thirty-six million, four hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 23357 46714 93428 116785 186856 233570 373712 467140 934280 1705061 1868560 3410122 6820244 8525305 13640488 17050610 27280976 34101220 68202440 136404880