Search a number
-
+
654047136 = 253623253
BaseRepresentation
bin100110111110111…
…111011110100000
31200120201001000000
4212332333132200
52314414002021
6144522300000
722131210651
oct4676773640
91616631000
10654047136
11306213326
12163057600
13a5670152
1462c15528
153c646b26
hex26fbf7a0

654047136 has 252 divisors, whose sum is σ = 2056267458. Its totient is φ = 204602112.

The previous prime is 654047123. The next prime is 654047143. The reversal of 654047136 is 631740456.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 499790736 + 154256400 = 22356^2 + 12420^2 .

It is a super-2 number, since 2×6540471362 = 855555312219604992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 654047136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12340486 + ... + 12340538.

Almost surely, 2654047136 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 654047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028133729).

654047136 is an abundant number, since it is smaller than the sum of its proper divisors (1402220322).

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

654047136 is an equidigital number, since it uses as much as digits as its factorization.

654047136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 654047136 is about 25574.3452702117. The cubic root of 654047136 is about 868.0332265874.

The spelling of 654047136 in words is "six hundred fifty-four million, forty-seven thousand, one hundred thirty-six".