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136700960 = 25511223307
BaseRepresentation
bin10000010010111…
…10010000100000
3100112020010110112
420021132100200
5234443412320
621321550452
73246640034
oct1011362040
9315203415
10136700960
1170189500
1239945428
1322423856
14142261c4
15c003ec5
hex825e420

136700960 has 144 divisors (see below), whose sum is σ = 371625408. Its totient is φ = 47393280.

The previous prime is 136700951. The next prime is 136700987. The reversal of 136700960 is 69007631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445127 + ... + 445433.

It is an arithmetic number, because the mean of its divisors is an integer number (2580732).

Almost surely, 2136700960 is an apocalyptic number.

136700960 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 136700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185812704).

136700960 is an abundant number, since it is smaller than the sum of its proper divisors (234924448).

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

136700960 is a wasteful number, since it uses less digits than its factorization.

136700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 136700960 is about 11691.9185765211. The cubic root of 136700960 is about 515.1383170755.

The spelling of 136700960 in words is "one hundred thirty-six million, seven hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 121 160 176 184 220 230 242 253 307 352 368 440 460 484 506 605 614 736 880 920 968 1012 1210 1228 1265 1535 1760 1840 1936 2024 2420 2456 2530 2783 3070 3377 3680 3872 4048 4840 4912 5060 5566 6140 6754 7061 8096 9680 9824 10120 11132 12280 13508 13915 14122 16885 19360 20240 22264 24560 27016 27830 28244 33770 35305 37147 40480 44528 49120 54032 55660 56488 67540 70610 74294 77671 89056 108064 111320 112976 135080 141220 148588 155342 185735 222640 225952 270160 282440 297176 310684 371470 388355 445280 540320 564880 594352 621368 742940 776710 854381 1129760 1188704 1242736 1485880 1553420 1708762 2485472 2971760 3106840 3417524 4271905 5943520 6213680 6835048 8543810 12427360 13670096 17087620 27340192 34175240 68350480 136700960