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136849064 = 231121091297
BaseRepresentation
bin10000010100000…
…10011010101000
3100112111122121212
420022002122220
5240013132224
621325052252
73251124602
oct1012023250
9315448555
10136849064
117027a800
12399b7088
13224760a1
1414264172
15c032d0e
hex82826a8

136849064 has 48 divisors (see below), whose sum is σ = 284846100. Its totient is φ = 61585920.

The previous prime is 136849061. The next prime is 136849073. The reversal of 136849064 is 460948631.

It can be written as a sum of positive squares in 2 ways, for example, as 109202500 + 27646564 = 10450^2 + 5258^2 .

It is not an unprimeable number, because it can be changed into a prime (136849061) 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, 104864 + ... + 106160.

Almost surely, 2136849064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136849064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142423050).

136849064 is an abundant number, since it is smaller than the sum of its proper divisors (147997036).

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

136849064 is a wasteful number, since it uses less digits than its factorization.

136849064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 136849064 is about 11698.2504674844. The cubic root of 136849064 is about 515.3242862868.

The spelling of 136849064 in words is "one hundred thirty-six million, eight hundred forty-nine thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 109 121 218 242 436 484 872 968 1199 1297 2398 2594 4796 5188 9592 10376 13189 14267 26378 28534 52756 57068 105512 114136 141373 156937 282746 313874 565492 627748 1130984 1255496 1555103 3110206 6220412 12440824 17106133 34212266 68424532 136849064