Search a number
-
+
136256260 = 22572257541
BaseRepresentation
bin10000001111100…
…01101100000100
3100111101112110011
420013301230010
5234340200020
621304240004
73243105400
oct1007615404
9314345404
10136256260
116aa05388
1239770004
13222c930a
141414c100
15be6735a
hex81f1b04

136256260 has 72 divisors (see below), whose sum is σ = 334767384. Its totient is φ = 46448640.

The previous prime is 136256251. The next prime is 136256273. The reversal of 136256260 is 62652631.

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 92775424 = 6594^2 + 9632^2 .

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 23 ways as a sum of consecutive naturals, for example, 251590 + ... + 252130.

It is an arithmetic number, because the mean of its divisors is an integer number (4649547).

Almost surely, 2136256260 is an apocalyptic number.

136256260 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 136256260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167383692).

136256260 is an abundant number, since it is smaller than the sum of its proper divisors (198511124).

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

136256260 is a wasteful number, since it uses less digits than its factorization.

136256260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 136256260 is about 11672.8856757873. The cubic root of 136256260 is about 514.5791138156.

The spelling of 136256260 in words is "one hundred thirty-six million, two hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 257 490 514 541 980 1028 1082 1285 1799 2164 2570 2705 3598 3787 5140 5410 7196 7574 8995 10820 12593 15148 17990 18935 25186 26509 35980 37870 50372 53018 62965 75740 106036 125930 132545 139037 251860 265090 278074 530180 556148 695185 973259 1390370 1946518 2780740 3893036 4866295 6812813 9732590 13625626 19465180 27251252 34064065 68128130 136256260