Search a number
-
+
64654128 = 2432741117
BaseRepresentation
bin1111011010100…
…0101100110000
311111122202210100
43312220230300
5113022413003
610225432400
71413360000
oct366505460
9144582710
1064654128
113354a670
121979b700
13105194a6
148830000
155a21ba3
hex3da8b30

64654128 has 300 divisors, whose sum is σ = 243821448. Its totient is φ = 15805440.

The previous prime is 64654103. The next prime is 64654159. The reversal of 64654128 is 82145646.

64654128 is a `hidden beast` number, since 646 + 5 + 4 + 1 + 2 + 8 = 666.

64654128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (40).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 64654092 and 64654101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3803176 + ... + 3803192.

Almost surely, 264654128 is an apocalyptic number.

64654128 is a gapful number since it is divisible by the number (68) 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 64654128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121910724).

64654128 is an abundant number, since it is smaller than the sum of its proper divisors (179167320).

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

64654128 is a wasteful number, since it uses less digits than its factorization.

64654128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64654128 is about 8040.7790667323. The cubic root of 64654128 is about 401.3581500188.

The spelling of 64654128 in words is "sixty-four million, six hundred fifty-four thousand, one hundred twenty-eight".