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640086016 = 21231712
BaseRepresentation
bin100110001001101…
…111000000000000
31122121102201221111
4212021233000000
52302330223031
6143303133104
721601432663
oct4611570000
91577381844
10640086016
112a9348109
1215a444194
13a27c262b
146101d6da
153b2da1b1
hex2626f000

640086016 has 78 divisors (see below), whose sum is σ = 1340178656. Its totient is φ = 305356800.

The previous prime is 640086001. The next prime is 640086049. The reversal of 640086016 is 610680046.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9015261 + ... + 9015331.

Almost surely, 2640086016 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 640086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670089328).

640086016 is an abundant number, since it is smaller than the sum of its proper divisors (700092640).

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

640086016 is an frugal number, since it uses more digits than its factorization.

640086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 640086016 is about 25299.9212646996. The cubic root of 640086016 is about 861.8124817529.

Multiplying 640086016 by its sum of digits (31), we get a square (19842666496 = 1408642).

640086016 divided by its sum of digits (31) gives a square (20647936 = 45442).

It can be divided in two parts, 6400 and 86016, that added together give a square (92416 = 3042).

The spelling of 640086016 in words is "six hundred forty million, eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 992 1024 1136 1984 2048 2201 2272 3968 4096 4402 4544 5041 7936 8804 9088 10082 15872 17608 18176 20164 31744 35216 36352 40328 63488 70432 72704 80656 126976 140864 145408 156271 161312 281728 290816 312542 322624 563456 625084 645248 1126912 1250168 1290496 2253824 2500336 2580992 4507648 5000672 5161984 9015296 10001344 10323968 20002688 20647936 40005376 80010752 160021504 320043008 640086016