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690080 = 25519227
BaseRepresentation
bin10101000011110100000
31022001121112
42220132200
5134040310
622442452
75602616
oct2503640
91261545
10690080
11431516
12293428
131b2141
1413d6b6
15d9705
hexa87a0

690080 has 48 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 260352.

The previous prime is 690073. The next prime is 690089. The reversal of 690080 is 80096.

It is not an unprimeable number, because it can be changed into a prime (690089) 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, 2927 + ... + 3153.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2690080 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 690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

690080 is an abundant number, since it is smaller than the sum of its proper divisors (1033600).

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

690080 is a wasteful number, since it uses less digits than its factorization.

690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 690080 is about 830.7105392373. The cubic root of 690080 is about 88.3689741861.

The spelling of 690080 in words is "six hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 227 304 380 454 608 760 908 1135 1520 1816 2270 3040 3632 4313 4540 7264 8626 9080 17252 18160 21565 34504 36320 43130 69008 86260 138016 172520 345040 690080