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715675680 = 25325496997
BaseRepresentation
bin101010101010000…
…101100000100000
31211212200002110200
4222222011200200
52431203110210
6155003225200
723510100006
oct5252054040
91755602420
10715675680
11337a86805
1217b818200
13b536a445
146b098a76
1542c6c0c0
hex2aa85820

715675680 has 72 divisors (see below), whose sum is σ = 2442248172. Its totient is φ = 190846464.

The previous prime is 715675657. The next prime is 715675687. The reversal of 715675680 is 86576517.

715675680 is a `hidden beast` number, since 7 + 1 + 567 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 606932496 + 108743184 = 24636^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (715675687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247059 + ... + 249938.

Almost surely, 2715675680 is an apocalyptic number.

It is an amenable number.

715675680 is an abundant number, since it is smaller than the sum of its proper divisors (1726572492).

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

715675680 is a wasteful number, since it uses less digits than its factorization.

715675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497018 (or 497007 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 715675680 is about 26752.1154303730. The cubic root of 715675680 is about 894.4829905188.

The spelling of 715675680 in words is "seven hundred fifteen million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 496997 993994 1490991 1987988 2484985 2981982 3975976 4472973 4969970 5963964 7454955 7951952 8945946 9939940 11927928 14909910 15903904 17891892 19879880 22364865 23855856 29819820 35783784 39759760 44729730 47711712 59639640 71567568 79519520 89459460 119279280 143135136 178918920 238558560 357837840 715675680