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136932480 = 2732523773
BaseRepresentation
bin10000010100101…
…10110010000000
3100112122220001100
420022112302000
5240023314410
621330534400
73251623026
oct1012266200
9315586040
10136932480
1170327443
1239a37400
13224a5049
1414286716
15c04c8c0
hex8296c80

136932480 has 96 divisors (see below), whose sum is σ = 472864860. Its totient is φ = 36513792.

The previous prime is 136932437. The next prime is 136932493. The reversal of 136932480 is 84239631.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 5875776 = 11448^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 6127 + ... + 17646.

Almost surely, 2136932480 is an apocalyptic number.

136932480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136932480 is an abundant number, since it is smaller than the sum of its proper divisors (335932380).

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

136932480 is a wasteful number, since it uses less digits than its factorization.

136932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23798 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 136932480 is about 11701.8152437987. The cubic root of 136932480 is about 515.4289698905.

The spelling of 136932480 in words is "one hundred thirty-six million, nine hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 23773 47546 71319 95092 118865 142638 190184 213957 237730 285276 356595 380368 427914 475460 570552 713190 760736 855828 950920 1069785 1141104 1426380 1521472 1711656 1901840 2139570 2282208 2852760 3042944 3423312 3803680 4279140 4564416 5705520 6846624 7607360 8558280 9128832 11411040 13693248 15214720 17116560 22822080 27386496 34233120 45644160 68466240 136932480