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687720320 = 2757153509
BaseRepresentation
bin101000111111011…
…100011110000000
31202221001210220222
4220333130132000
52402024022240
6152124122212
723020345340
oct5077343600
91687053828
10687720320
11323222501
12172396368
13ac630001
146749cd20
1540598eb5
hex28fdc780

687720320 has 64 divisors (see below), whose sum is σ = 1878962400. Its totient is φ = 235788288.

The previous prime is 687720301. The next prime is 687720323. The reversal of 687720320 is 23027786.

687720320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687720323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72275 + ... + 81234.

Almost surely, 2687720320 is an apocalyptic number.

It is an amenable number.

687720320 is an abundant number, since it is smaller than the sum of its proper divisors (1191242080).

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

687720320 is a wasteful number, since it uses less digits than its factorization.

687720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153535 (or 153523 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 687720320 is about 26224.4222052651. The cubic root of 687720320 is about 882.6813533192.

The spelling of 687720320 in words is "six hundred eighty-seven million, seven hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 153509 307018 614036 767545 1074563 1228072 1535090 2149126 2456144 3070180 4298252 4912288 5372815 6140360 8596504 9824576 10745630 12280720 17193008 19649152 21491260 24561440 34386016 42982520 49122880 68772032 85965040 98245760 137544064 171930080 343860160 687720320