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290680 = 23513243
BaseRepresentation
bin1000110111101111000
3112202201221
41012331320
533300210
610121424
72320315
oct1067570
9482657
10290680
11189435
12120274
13a2400
1477d0c
155b1da
hex46f78

290680 has 48 divisors (see below), whose sum is σ = 724680. Its totient is φ = 104832.

The previous prime is 290677. The next prime is 290701. The reversal of 290680 is 86092.

It is a congruent number.

It is an unprimeable 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, 6739 + ... + 6781.

2290680 is an apocalyptic number.

290680 is a gapful number since it is divisible by the number (20) 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 290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362340).

290680 is an abundant number, since it is smaller than the sum of its proper divisors (434000).

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

290680 is a wasteful number, since it uses less digits than its factorization.

290680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 290680 is about 539.1474751865. The cubic root of 290680 is about 66.2427546366.

The spelling of 290680 in words is "two hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 169 172 215 260 338 344 430 520 559 676 845 860 1118 1352 1690 1720 2236 2795 3380 4472 5590 6760 7267 11180 14534 22360 29068 36335 58136 72670 145340 290680