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136060340 = 225131094801
BaseRepresentation
bin10000001110000…
…01110110110100
3100111000120200212
420013001312310
5234312412330
621300124552
73241331243
oct1007016664
9314016625
10136060340
116a891169
1239696758
132225b0a0
14140da95a
15be29295
hex81c1db4

136060340 has 48 divisors (see below), whose sum is σ = 310593360. Its totient is φ = 49766400.

The previous prime is 136060319. The next prime is 136060343. The reversal of 136060340 is 43060631.

It can be written as a sum of positive squares in 8 ways, for example, as 2149156 + 133911184 = 1466^2 + 11572^2 .

It is a super-2 number, since 2×1360603402 = 37024832241831200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136060343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25940 + ... + 30740.

It is an arithmetic number, because the mean of its divisors is an integer number (6470695).

Almost surely, 2136060340 is an apocalyptic number.

136060340 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 136060340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155296680).

136060340 is an abundant number, since it is smaller than the sum of its proper divisors (174533020).

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

136060340 is a wasteful number, since it uses less digits than its factorization.

136060340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 136060340 is about 11664.4905589571. The cubic root of 136060340 is about 514.3323613626.

The spelling of 136060340 in words is "one hundred thirty-six million, sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 4801 5668 7085 9602 14170 19204 24005 28340 48010 62413 96020 124826 249652 312065 523309 624130 1046618 1248260 2093236 2616545 5233090 6803017 10466180 13606034 27212068 34015085 68030170 136060340