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136311780 = 2235111712149
BaseRepresentation
bin10000001111111…
…11001111100100
3100111111100121110
420013333033210
5234343434110
621305345020
73243426303
oct1007771744
9314440543
10136311780
116aa43070
1239798170
1322318677
141416443a
15be78a20
hex81ff3e4

136311780 has 96 divisors (see below), whose sum is σ = 440899200. Its totient is φ = 31098880.

The previous prime is 136311751. The next prime is 136311781. The reversal of 136311780 is 87113631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (136311781) 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, 5146 + ... + 17294.

It is an arithmetic number, because the mean of its divisors is an integer number (4592700).

Almost surely, 2136311780 is an apocalyptic number.

136311780 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 136311780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220449600).

136311780 is an abundant number, since it is smaller than the sum of its proper divisors (304587420).

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

136311780 is a wasteful number, since it uses less digits than its factorization.

136311780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12189 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 136311780 is about 11675.2635944547. The cubic root of 136311780 is about 514.6489957496.

The spelling of 136311780 in words is "one hundred thirty-six million, three hundred eleven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 12149 24298 36447 48596 60745 72894 121490 133639 145788 182235 206533 242980 267278 364470 400917 413066 534556 619599 668195 728940 801834 826132 1032665 1239198 1336390 1603668 2004585 2065330 2271863 2478396 2672780 3097995 4009170 4130660 4543726 6195990 6815589 8018340 9087452 11359315 12391980 13631178 22718630 27262356 34077945 45437260 68155890 136311780