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136130060 = 2251119291123
BaseRepresentation
bin10000001110100…
…10111000001100
3100111011010100002
420013102320030
5234322130220
621301423432
73242041433
oct1007227014
9314133302
10136130060
116a929590
123970ab78
1322283a41
141411811a
15be3ec75
hex81d2e0c

136130060 has 96 divisors (see below), whose sum is σ = 339897600. Its totient is φ = 45239040.

The previous prime is 136130011. The next prime is 136130081. The reversal of 136130060 is 60031631.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 120659 + ... + 121781.

It is an arithmetic number, because the mean of its divisors is an integer number (3540600).

Almost surely, 2136130060 is an apocalyptic number.

136130060 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 136130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169948800).

136130060 is an abundant number, since it is smaller than the sum of its proper divisors (203767540).

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

136130060 is a wasteful number, since it uses less digits than its factorization.

136130060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 136130060 is about 11667.4787336425. The cubic root of 136130060 is about 514.4201977078.

Adding to 136130060 its reverse (60031631), we get a palindrome (196161691).

The spelling of 136130060 in words is "one hundred thirty-six million, one hundred thirty thousand, sixty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1123 1276 1595 2090 2204 2246 2755 3190 4180 4492 5510 5615 6061 6380 11020 11230 12122 12353 21337 22460 24244 24706 30305 32567 42674 49412 60610 61765 65134 85348 106685 121220 123530 130268 162835 213370 234707 247060 325670 358237 426740 469414 618773 651340 716474 938828 1173535 1237546 1432948 1791185 2347070 2475092 3093865 3582370 4694140 6187730 6806503 7164740 12375460 13613006 27226012 34032515 68065030 136130060