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64536320 = 285127397
BaseRepresentation
bin1111011000101…
…1111100000000
311111102210012002
43312023330000
5113010130240
610223123132
71412356352
oct366137400
9144383162
1064536320
113347a102
12197434a8
13104a7994
1487dd0d2
1559ebd15
hex3d8bf00

64536320 has 72 divisors (see below), whose sum is σ = 156194304. Its totient is φ = 25546752.

The previous prime is 64536319. The next prime is 64536323. The reversal of 64536320 is 2363546.

64536320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64536323) 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 7 ways as a sum of consecutive naturals, for example, 162362 + ... + 162758.

Almost surely, 264536320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78097152).

64536320 is an abundant number, since it is smaller than the sum of its proper divisors (91657984).

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

64536320 is a wasteful number, since it uses less digits than its factorization.

64536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 64536320 is about 8033.4500683081. The cubic root of 64536320 is about 401.1142266986.

Adding to 64536320 its reverse (2363546), we get a palindrome (66899866).

The spelling of 64536320 in words is "sixty-four million, five hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 397 508 635 640 794 1016 1270 1280 1588 1985 2032 2540 3176 3970 4064 5080 6352 7940 8128 10160 12704 15880 16256 20320 25408 31760 32512 40640 50419 50816 63520 81280 100838 101632 127040 162560 201676 252095 254080 403352 504190 508160 806704 1008380 1613408 2016760 3226816 4033520 6453632 8067040 12907264 16134080 32268160 64536320