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136205680 = 245131961113
BaseRepresentation
bin10000001111001…
…01010101110000
3100111021222001211
420013211111300
5234332040210
621303205504
73242505052
oct1007452560
9314258054
10136205680
116a980386
1239746894
13222ac2a0
14141378d2
15be5738a
hex81e5570

136205680 has 160 divisors (see below), whose sum is σ = 368101440. Its totient is φ = 46448640.

The previous prime is 136205659. The next prime is 136205681. The reversal of 136205680 is 86502631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136205681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205304 + ... + 1205416.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2136205680 is an apocalyptic number.

136205680 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 136205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

136205680 is an abundant number, since it is smaller than the sum of its proper divisors (231895760).

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

136205680 is a wasteful number, since it uses less digits than its factorization.

136205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 136205680 is about 11670.7189153025. The cubic root of 136205680 is about 514.5154332361.

The spelling of 136205680 in words is "one hundred thirty-six million, two hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 61 65 76 80 95 104 113 122 130 152 190 208 226 244 247 260 304 305 380 452 488 494 520 565 610 760 793 904 976 988 1040 1130 1159 1220 1235 1469 1520 1586 1808 1976 2147 2260 2318 2440 2470 2938 3172 3952 3965 4294 4520 4636 4880 4940 5795 5876 6344 6893 7345 7930 8588 9040 9272 9880 10735 11590 11752 12688 13786 14690 15067 15860 17176 18544 19760 21470 23180 23504 27572 27911 29380 30134 31720 34352 34465 42940 46360 55144 55822 58760 60268 63440 68930 75335 85880 89609 92720 110288 111644 117520 120536 130967 137860 139555 150670 171760 179218 223288 241072 261934 275720 279110 301340 358436 446576 448045 523868 551440 558220 602680 654835 716872 896090 1047736 1116440 1205360 1309670 1433744 1702571 1792180 2095472 2232880 2619340 3405142 3584360 5238680 6810284 7168720 8512855 10477360 13620568 17025710 27241136 34051420 68102840 136205680