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640174080 = 21135713229
BaseRepresentation
bin100110001010000…
…100100000000000
31122121121012202010
4212022010200000
52302341032310
6143305052520
721602250510
oct4612044000
91577535663
10640174080
112a93a8297
1215a487140
13a2823740
1461043840
153b306320
hex26284800

640174080 has 384 divisors, whose sum is σ = 2531692800. Its totient is φ = 134479872.

The previous prime is 640174069. The next prime is 640174081. The reversal of 640174080 is 80471046.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640174081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795406 + ... + 2795634.

It is an arithmetic number, because the mean of its divisors is an integer number (6592950).

Almost surely, 2640174080 is an apocalyptic number.

640174080 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 640174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265846400).

640174080 is an abundant number, since it is smaller than the sum of its proper divisors (1891518720).

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

640174080 is a wasteful number, since it uses less digits than its factorization.

640174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 640174080 is about 25301.6616055152. The cubic root of 640174080 is about 861.8520030944.

The spelling of 640174080 in words is "six hundred forty million, one hundred seventy-four thousand, eighty".