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1064560640 = 21151113727
BaseRepresentation
bin111111011100111…
…110100000000000
32202012011021122212
4333130332200000
54140011420030
6253345121252
735244421223
oct7734764000
92665137585
101064560640
114a6a0a190
12258629228
1313c722c50
14a15555ba
15636d5595
hex3f73e800

1064560640 has 192 divisors, whose sum is σ = 3005009280. Its totient is φ = 356843520.

The previous prime is 1064560631. The next prime is 1064560643. The reversal of 1064560640 is 460654601.

1064560640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10645606402 = 2266578712474419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1064560597 and 1064560606.

It is not an unprimeable number, because it can be changed into a prime (1064560643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463957 + ... + 1464683.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 21064560640 is an apocalyptic number.

1064560640 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 1064560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502504640).

1064560640 is an abundant number, since it is smaller than the sum of its proper divisors (1940448640).

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

1064560640 is a wasteful number, since it uses less digits than its factorization.

1064560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1064560640 is about 32627.6054898302. The cubic root of 1064560640 is about 1021.0730217720.

The spelling of 1064560640 in words is "one billion, sixty-four million, five hundred sixty thousand, six hundred forty".