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64134720 = 2633513571
BaseRepresentation
bin1111010010100…
…1111001000000
311110200101022000
43310221321000
5112404302340
610210344000
71406064456
oct364517100
9143611260
1064134720
1133225401
121958b000
1310396c50
1487369d6
15596cd30
hex3d29e40

64134720 has 224 divisors, whose sum is σ = 244083840. Its totient is φ = 15759360.

The previous prime is 64134673. The next prime is 64134757. The reversal of 64134720 is 2743146.

It is a super-2 number, since 2×641347202 = 8226524618956800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112035 + ... + 112605.

It is an arithmetic number, because the mean of its divisors is an integer number (1089660).

Almost surely, 264134720 is an apocalyptic number.

64134720 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 64134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122041920).

64134720 is an abundant number, since it is smaller than the sum of its proper divisors (179949120).

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

64134720 is a wasteful number, since it uses less digits than its factorization.

64134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 64134720 is about 8008.4155736325. The cubic root of 64134720 is about 400.2804699622.

Adding to 64134720 its reverse (2743146), we get a palindrome (66877866).

The spelling of 64134720 in words is "sixty-four million, one hundred thirty-four thousand, seven hundred twenty".