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664062840 = 233357175167
BaseRepresentation
bin100111100101001…
…100101101111000
31201021112212222000
4213211030231320
52330000002330
6145521101000
722312304160
oct4745145570
91637485860
10664062840
11310934271
12166487760
13a7768bbc
14642a15a0
153d474560
hex2794cb78

664062840 has 256 divisors, whose sum is σ = 2679091200. Its totient is φ = 142829568.

The previous prime is 664062829. The next prime is 664062869. The reversal of 664062840 is 48260466.

It is a happy number.

664062840 is a `hidden beast` number, since 6 + 640 + 6 + 2 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 664062795 and 664062804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125937 + ... + 131103.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2664062840 is an apocalyptic number.

664062840 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 664062840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339545600).

664062840 is an abundant number, since it is smaller than the sum of its proper divisors (2015028360).

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

664062840 is a wasteful number, since it uses less digits than its factorization.

664062840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 664062840 is about 25769.4167570785. The cubic root of 664062840 is about 872.4416547603.

The spelling of 664062840 in words is "six hundred sixty-four million, sixty-two thousand, eight hundred forty".