Search a number
-
+
136856000 = 265317107
BaseRepresentation
bin10000010100001…
…00000111000000
3100112112000010202
420022010013000
5240013343000
621325144332
73251154041
oct1012040700
9315460122
10136856000
1170284a36
12399bb0a8
13224792a8
14142668c8
15c034dd5
hex82841c0

136856000 has 56 divisors (see below), whose sum is σ = 338943696. Its totient is φ = 54739200.

The previous prime is 136855973. The next prime is 136856011. The reversal of 136856000 is 658631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (6052566).

Almost surely, 2136856000 is an apocalyptic number.

136856000 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 136856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169471848).

136856000 is an abundant number, since it is smaller than the sum of its proper divisors (202087696).

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

136856000 is an equidigital number, since it uses as much as digits as its factorization.

136856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17134 (or 17114 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 136856000 is about 11698.5469183143. The cubic root of 136856000 is about 515.3329922990.

The spelling of 136856000 in words is "one hundred thirty-six million, eight hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 17107 34214 68428 85535 136856 171070 273712 342140 427675 547424 684280 855350 1094848 1368560 1710700 2138375 2737120 3421400 4276750 5474240 6842800 8553500 13685600 17107000 27371200 34214000 68428000 136856000