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627990 = 235112173
BaseRepresentation
bin10011001010100010110
31011220102220
42121110112
5130043430
621243210
75223606
oct2312426
91156386
10627990
11399900
12263506
1318cabc
14124c06
15c6110
hex99516

627990 has 48 divisors (see below), whose sum is σ = 1666224. Its totient is φ = 151360.

The previous prime is 627973. The next prime is 628013. The reversal of 627990 is 99726.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3544 + ... + 3716.

It is an arithmetic number, because the mean of its divisors is an integer number (34713).

2627990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833112).

627990 is an abundant number, since it is smaller than the sum of its proper divisors (1038234).

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

627990 is a wasteful number, since it uses less digits than its factorization.

627990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 627990 is about 792.4582007904. The cubic root of 627990 is about 85.6349225718.

The spelling of 627990 in words is "six hundred twenty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 173 242 330 346 363 519 605 726 865 1038 1210 1730 1815 1903 2595 3630 3806 5190 5709 9515 11418 19030 20933 28545 41866 57090 62799 104665 125598 209330 313995 627990