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689708160 = 27325294129
BaseRepresentation
bin101001000111000…
…001110010000000
31210001210210201200
4221013001302000
52403031130120
6152234501200
723043264651
oct5107016200
91701723650
10689708160
1132435aa49
12172b94800
13acb77a4b
1467859528
154083ce90
hex291c1c80

689708160 has 192 divisors, whose sum is σ = 2464371000. Its totient is φ = 177537024.

The previous prime is 689708137. The next prime is 689708167. The reversal of 689708160 is 61807986.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 572549184 + 117158976 = 23928^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (689708167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164976 + ... + 169104.

Almost surely, 2689708160 is an apocalyptic number.

689708160 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 689708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232185500).

689708160 is an abundant number, since it is smaller than the sum of its proper divisors (1774662840).

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

689708160 is a wasteful number, since it uses less digits than its factorization.

689708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 689708160 is about 26262.2954061521. The cubic root of 689708160 is about 883.5309920400.

The spelling of 689708160 in words is "six hundred eighty-nine million, seven hundred eight thousand, one hundred sixty".