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136772864 = 282332293
BaseRepresentation
bin10000010011011…
…11110100000000
3100112100210002122
420021233310000
5240003212424
621323303412
73250356464
oct1011576400
9315323078
10136772864
1170228528
123997ab68
132244a4b7
14142444a4
15c01a45e
hex826fd00

136772864 has 36 divisors (see below), whose sum is σ = 274302756. Its totient is φ = 68063232.

The previous prime is 136772851. The next prime is 136772869. The reversal of 136772864 is 468277631.

It can be written as a sum of positive squares in 2 ways, for example, as 33547264 + 103225600 = 5792^2 + 10160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136772869) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 58502 + ... + 60794.

It is an arithmetic number, because the mean of its divisors is an integer number (7619521).

Almost surely, 2136772864 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 136772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137151378).

136772864 is an abundant number, since it is smaller than the sum of its proper divisors (137529892).

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

136772864 is an equidigital number, since it uses as much as digits as its factorization.

136772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2528 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 136772864 is about 11694.9931167145. The cubic root of 136772864 is about 515.2286212769.

The spelling of 136772864 in words is "one hundred thirty-six million, seven hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 932 1864 2293 3728 4586 7456 9172 14912 18344 29824 36688 59648 73376 146752 293504 534269 587008 1068538 2137076 4274152 8548304 17096608 34193216 68386432 136772864