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628660 = 22517432
BaseRepresentation
bin10011001011110110100
31011221100201
42121132310
5130104120
621250244
75225554
oct2313664
91157321
10628660
1139a35a
12263984
131901b6
14125164
15c640a
hex997b4

628660 has 36 divisors (see below), whose sum is σ = 1431108. Its totient is φ = 231168.

The previous prime is 628651. The next prime is 628673. The reversal of 628660 is 66826.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 266256 = 602^2 + 516^2 .

It is a congruent number.

It is an unprimeable number.

628660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14599 + ... + 14641.

It is an arithmetic number, because the mean of its divisors is an integer number (39753).

2628660 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 628660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715554).

628660 is an abundant number, since it is smaller than the sum of its proper divisors (802448).

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

628660 is a wasteful number, since it uses less digits than its factorization.

628660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 628660 is about 792.8808233272. The cubic root of 628660 is about 85.6653662656.

The spelling of 628660 in words is "six hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 1849 2924 3655 3698 7310 7396 9245 14620 18490 31433 36980 62866 125732 157165 314330 628660