Search a number
-
+
136584630 = 234571317109
BaseRepresentation
bin10000010010000…
…01110110110110
3100112000012220000
420021001312312
5234431202010
621315252130
73245643630
oct1011016666
9315005800
10136584630
117010a066
12398aa046
13223b2910
14141d5a50
15bece7c0
hex8241db6

136584630 has 320 divisors, whose sum is σ = 482993280. Its totient is φ = 26873856.

The previous prime is 136584611. The next prime is 136584671. The reversal of 136584630 is 36485631.

136584630 is a `hidden beast` number, since 13 + 6 + 5 + 8 + 4 + 630 = 666.

It is a super-2 number, since 2×1365846302 = 37310722304473800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1253016 + ... + 1253124.

It is an arithmetic number, because the mean of its divisors is an integer number (1509354).

Almost surely, 2136584630 is an apocalyptic number.

136584630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136584630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

136584630 is an abundant number, since it is smaller than the sum of its proper divisors (346408650).

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

136584630 is a wasteful number, since it uses less digits than its factorization.

136584630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136584630 is about 11686.9427139864. The cubic root of 136584630 is about 514.9921511984.

The spelling of 136584630 in words is "one hundred thirty-six million, five hundred eighty-four thousand, six hundred thirty".