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64596640 = 255403729
BaseRepresentation
bin1111011001101…
…0101010100000
311111112211221011
43312122222200
5113014043030
610224310304
71413030253
oct366325240
9144484834
1064596640
1133510459
1219772394
13104c9284
14881709a
155a0eb2a
hex3d9aaa0

64596640 has 24 divisors (see below), whose sum is σ = 152609940. Its totient is φ = 25838592.

The previous prime is 64596619. The next prime is 64596647. The reversal of 64596640 is 4669546.

64596640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64192144 + 404496 = 8012^2 + 636^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 64596593 and 64596602.

It is not an unprimeable number, because it can be changed into a prime (64596647) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 201705 + ... + 202024.

Almost surely, 264596640 is an apocalyptic number.

It is an amenable number.

64596640 is an abundant number, since it is smaller than the sum of its proper divisors (88013300).

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

64596640 is a wasteful number, since it uses less digits than its factorization.

64596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403744 (or 403736 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 64596640 is about 8037.2034937533. The cubic root of 64596640 is about 401.2391572592.

The spelling of 64596640 in words is "sixty-four million, five hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 403729 807458 1614916 2018645 3229832 4037290 6459664 8074580 12919328 16149160 32298320 64596640