Search a number
-
+
64064520 = 23365133
BaseRepresentation
bin1111010001100…
…0110000001000
311110112211000000
43310120300020
5112400031040
610205043000
71405353012
oct364306010
9143484000
1064064520
1133187693
1219556460
1310371000
1487191b2
155957130
hex3d18c08

64064520 has 224 divisors, whose sum is σ = 234120600. Its totient is φ = 15769728.

The previous prime is 64064513. The next prime is 64064521. The reversal of 64064520 is 2546046.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 63011844 = 1026^2 + 7938^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64064521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4928034 + ... + 4928046.

Almost surely, 264064520 is an apocalyptic number.

64064520 is a gapful number since it is divisible by the number (60) 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 64064520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117060300).

64064520 is an abundant number, since it is smaller than the sum of its proper divisors (170056080).

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

64064520 is an equidigital number, since it uses as much as digits as its factorization.

64064520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64064520 is about 8004.0314841959. The cubic root of 64064520 is about 400.1343715223.

The spelling of 64064520 in words is "sixty-four million, sixty-four thousand, five hundred twenty".