Search a number
-
+
1064538720 = 253357247107
BaseRepresentation
bin111111011100111…
…001001001100000
32202012010011121000
4333130321021200
54140010214340
6253344432000
735244300300
oct7734711140
92665104530
101064538720
114a69a4773
12258618600
1313c715c8b
14a154b600
15636cdd30
hex3f739260

1064538720 has 576 divisors, whose sum is σ = 4467778560. Its totient is φ = 235920384.

The previous prime is 1064538703. The next prime is 1064538721. The reversal of 1064538720 is 278354601.

1064538720 is a `hidden beast` number, since 1 + 0 + 645 + 3 + 8 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×10645387202 = 2266485372758476800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064538721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9948907 + ... + 9949013.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 21064538720 is an apocalyptic number.

1064538720 is a gapful number since it is divisible by the number (10) 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 1064538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233889280).

1064538720 is an abundant number, since it is smaller than the sum of its proper divisors (3403239840).

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

1064538720 is a wasteful number, since it uses less digits than its factorization.

1064538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1064538720 is about 32627.2695762302. The cubic root of 1064538720 is about 1021.0660135368.

The spelling of 1064538720 in words is "one billion, sixty-four million, five hundred thirty-eight thousand, seven hundred twenty".