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290628 = 22351323
BaseRepresentation
bin1000110111101000100
3112202200000
41012331010
533300003
610121300
72320212
oct1067504
9482600
10290628
11189398
12120230
13a2390
1477cb2
155b1a3
hex46f44

290628 has 72 divisors (see below), whose sum is σ = 856128. Its totient is φ = 85536.

The previous prime is 290627. The next prime is 290657. The reversal of 290628 is 826092.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (290621) 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, 12625 + ... + 12647.

2290628 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 290628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064).

290628 is an abundant number, since it is smaller than the sum of its proper divisors (565500).

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

290628 is a wasteful number, since it uses less digits than its factorization.

290628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 290628 is about 539.0992487474. The cubic root of 290628 is about 66.2388043262.

The spelling of 290628 in words is "two hundred ninety thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 243 276 299 324 351 414 468 486 598 621 702 828 897 972 1053 1196 1242 1404 1794 1863 2106 2484 2691 3159 3588 3726 4212 5382 5589 6318 7452 8073 10764 11178 12636 16146 22356 24219 32292 48438 72657 96876 145314 290628