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136822180 = 225115983127
BaseRepresentation
bin10000010011110…
…11110110100100
3100112110021202011
420021323312210
5240011302210
621324324004
73250653325
oct1011736644
9315407664
10136822180
1170261590
12399a3604
1322466a91
141425844c
15c029d8a
hex827bda4

136822180 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 47940480.

The previous prime is 136822177. The next prime is 136822181. The reversal of 136822180 is 81228631.

136822180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (136822181) 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, 1077277 + ... + 1077403.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2136822180 is an apocalyptic number.

136822180 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 136822180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

136822180 is an abundant number, since it is smaller than the sum of its proper divisors (188318300).

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

136822180 is a wasteful number, since it uses less digits than its factorization.

136822180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 136822180 is about 11697.1013503346. The cubic root of 136822180 is about 515.2905389230.

The spelling of 136822180 in words is "one hundred thirty-six million, eight hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 83 110 118 127 166 220 236 254 295 332 415 508 590 635 649 830 913 1180 1270 1298 1397 1660 1826 2540 2596 2794 3245 3652 4565 4897 5588 6490 6985 7493 9130 9794 10541 12980 13970 14986 18260 19588 21082 24485 27940 29972 37465 42164 48970 52705 53867 74930 82423 97940 105410 107734 115951 149860 164846 210820 215468 231902 269335 329692 412115 463804 538670 579755 621919 824230 1077340 1159510 1243838 1648460 2319020 2487676 3109595 6219190 6841109 12438380 13682218 27364436 34205545 68411090 136822180