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640960320 = 2635711132329
BaseRepresentation
bin100110001101000…
…100011101000000
31122200002011021010
4212031010131000
52303041212240
6143334000520
721612033660
oct4615043500
91580064233
10640960320
112a9894a80
1215a7a6140
13a2a3a580
14611aa1a0
153b40e280
hex26344740

640960320 has 896 divisors, whose sum is σ = 2949488640. Its totient is φ = 113541120.

The previous prime is 640960319. The next prime is 640960351. The reversal of 640960320 is 23069046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22102066 + ... + 22102094.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2640960320 is an apocalyptic number.

640960320 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 640960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

640960320 is an abundant number, since it is smaller than the sum of its proper divisors (2308528320).

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

640960320 is a wasteful number, since it uses less digits than its factorization.

640960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 640960320 is about 25317.1941573311. The cubic root of 640960320 is about 862.2046911722.

The spelling of 640960320 in words is "six hundred forty million, nine hundred sixty thousand, three hundred twenty".