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136993560 = 233511671549
BaseRepresentation
bin10000010101001…
…01101100011000
3100112202222211120
420022211230120
5240032243220
621332125240
73252266064
oct1012455430
9315688746
10136993560
1170369320
1239a66820
13224c6aa2
14142a0aa4
15c060a40
hex82a5b18

136993560 has 128 divisors (see below), whose sum is σ = 455328000. Its totient is φ = 32693760.

The previous prime is 136993529. The next prime is 136993567. The reversal of 136993560 is 65399631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136993567) 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 31 ways as a sum of consecutive naturals, for example, 87666 + ... + 89214.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2136993560 is an apocalyptic number.

136993560 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 136993560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664000).

136993560 is an abundant number, since it is smaller than the sum of its proper divisors (318334440).

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

136993560 is a wasteful number, since it uses less digits than its factorization.

136993560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 136993560 is about 11704.4248043208. The cubic root of 136993560 is about 515.5055957858.

The spelling of 136993560 in words is "one hundred thirty-six million, nine hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1549 1608 2010 2211 2680 2948 3098 3685 4020 4422 4647 5896 6196 7370 7745 8040 8844 9294 11055 12392 14740 15490 17039 17688 18588 22110 23235 29480 30980 34078 37176 44220 46470 51117 61960 68156 85195 88440 92940 102234 103783 136312 170390 185880 204468 207566 255585 311349 340780 408936 415132 511170 518915 622698 681560 830264 1022340 1037830 1141613 1245396 1556745 2044680 2075660 2283226 2490792 3113490 3424839 4151320 4566452 5708065 6226980 6849678 9132904 11416130 12453960 13699356 17124195 22832260 27398712 34248390 45664520 68496780 136993560