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136460880 = 24325189529
BaseRepresentation
bin10000010001000…
…11101001010000
3100111202221010200
420020203221100
5234413222010
621312455200
73244620063
oct1010435120
9314687120
10136460880
1170035096
123984a500
132236b4aa
14141a28da
15bea7cc0
hex8223a50

136460880 has 60 divisors (see below), whose sum is σ = 458283540. Its totient is φ = 36389376.

The previous prime is 136460851. The next prime is 136460903. The reversal of 136460880 is 88064631.

It is a happy number.

136460880 is a `hidden beast` number, since 1 + 3 + 646 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 106254864 = 5496^2 + 10308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94045 + ... + 95484.

It is an arithmetic number, because the mean of its divisors is an integer number (7638059).

Almost surely, 2136460880 is an apocalyptic number.

136460880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136460880 is an abundant number, since it is smaller than the sum of its proper divisors (321822660).

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

136460880 is a wasteful number, since it uses less digits than its factorization.

136460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189548 (or 189539 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136460880 is about 11681.6471441317. The cubic root of 136460880 is about 514.8365711364.

The spelling of 136460880 in words is "one hundred thirty-six million, four hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 189529 379058 568587 758116 947645 1137174 1516232 1705761 1895290 2274348 2842935 3032464 3411522 3790580 4548696 5685870 6823044 7581160 8528805 9097392 11371740 13646088 15162320 17057610 22743480 27292176 34115220 45486960 68230440 136460880