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136713960 = 233351031229
BaseRepresentation
bin10000010011000…
…01011011101000
3100112020210022000
420021201123220
5234444321320
621322131000
73250022655
oct1011413350
9315223260
10136713960
1170198249
1239950a60
1322429746
141422ac2c
15c007c90
hex82616e8

136713960 has 128 divisors (see below), whose sum is σ = 460512000. Its totient is φ = 36073728.

The previous prime is 136713953. The next prime is 136713971. The reversal of 136713960 is 69317631.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110626 + ... + 111854.

It is an arithmetic number, because the mean of its divisors is an integer number (3597750).

Almost surely, 2136713960 is an apocalyptic number.

136713960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136713960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230256000).

136713960 is an abundant number, since it is smaller than the sum of its proper divisors (323798040).

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

136713960 is a wasteful number, since it uses less digits than its factorization.

136713960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 136713960 is about 11692.4745028587. The cubic root of 136713960 is about 515.1546461143.

The spelling of 136713960 in words is "one hundred thirty-six million, seven hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1229 1236 1545 1854 2060 2458 2472 2781 3090 3687 3708 4120 4635 4916 5562 6145 6180 7374 7416 9270 9832 11061 11124 12290 12360 13905 14748 18435 18540 22122 22248 24580 27810 29496 33183 36870 37080 44244 49160 55305 55620 66366 73740 88488 110610 111240 126587 132732 147480 165915 221220 253174 265464 331830 379761 442440 506348 632935 663660 759522 1012696 1139283 1265870 1327320 1519044 1898805 2278566 2531740 3038088 3417849 3797610 4557132 5063480 5696415 6835698 7595220 9114264 11392830 13671396 15190440 17089245 22785660 27342792 34178490 45571320 68356980 136713960