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136565440 = 2651123527
BaseRepresentation
bin10000010001111…
…01001011000000
3100111222020120021
420020331023000
5234430043230
621315023224
73245533654
oct1010751300
9314866507
10136565440
11700a6700
123989ab14
13223a6c6b
14141cca64
15bec8c7a
hex823d2c0

136565440 has 84 divisors (see below), whose sum is σ = 357548688. Its totient is φ = 49646080.

The previous prime is 136565389. The next prime is 136565441. The reversal of 136565440 is 44565631.

136565440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136565396 and 136565405.

It is not an unprimeable number, because it can be changed into a prime (136565441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36957 + ... + 40483.

It is an arithmetic number, because the mean of its divisors is an integer number (4256532).

Almost surely, 2136565440 is an apocalyptic number.

136565440 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 136565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774344).

136565440 is an abundant number, since it is smaller than the sum of its proper divisors (220983248).

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

136565440 is a wasteful number, since it uses less digits than its factorization.

136565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 136565440 is about 11686.1216834329. The cubic root of 136565440 is about 514.9680314463.

The spelling of 136565440 in words is "one hundred thirty-six million, five hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3527 3872 4840 7054 7744 9680 14108 17635 19360 28216 35270 38720 38797 56432 70540 77594 112864 141080 155188 193985 225728 282160 310376 387970 426767 564320 620752 775940 853534 1128640 1241504 1551880 1707068 2133835 2483008 3103760 3414136 4267670 6207520 6828272 8535340 12415040 13656544 17070680 27313088 34141360 68282720 136565440