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136480320 = 2632547389
BaseRepresentation
bin10000010001010…
…00011001000000
3100111210220210200
420020220121000
5234414332240
621313125200
73245030544
oct1010503100
9314726720
10136480320
1170048759
1239859800
13223772b2
14141a9a24
15bead930
hex8228640

136480320 has 84 divisors (see below), whose sum is σ = 469445340. Its totient is φ = 36393984.

The previous prime is 136480313. The next prime is 136480361. The reversal of 136480320 is 23084631.

It is a happy number.

136480320 is a `hidden beast` number, since 13 + 648 + 0 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 116122176 = 4512^2 + 10776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20815 + ... + 26574.

It is an arithmetic number, because the mean of its divisors is an integer number (5588635).

Almost surely, 2136480320 is an apocalyptic number.

136480320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136480320 is an abundant number, since it is smaller than the sum of its proper divisors (332965020).

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

136480320 is a wasteful number, since it uses less digits than its factorization.

136480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47412 (or 47399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136480320 is about 11682.4791889393. The cubic root of 136480320 is about 514.8610175754.

The spelling of 136480320 in words is "one hundred thirty-six million, four hundred eighty thousand, three hundred twenty".

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 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 47389 94778 142167 189556 236945 284334 379112 426501 473890 568668 710835 758224 853002 947780 1137336 1421670 1516448 1706004 1895560 2132505 2274672 2843340 3032896 3412008 3791120 4265010 4549344 5686680 6824016 7582240 8530020 9098688 11373360 13648032 15164480 17060040 22746720 27296064 34120080 45493440 68240160 136480320