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290666240 = 285435281
BaseRepresentation
bin10001010100110…
…011011100000000
3202020221101010022
4101110303130000
51043402304430
644501553012
710126423304
oct2124633400
9666841108
10290666240
1113a089937
1281415768
13482b0577
142a863d04
151a7b84e5
hex11533700

290666240 has 72 divisors (see below), whose sum is σ = 712562928. Its totient is φ = 113541120.

The previous prime is 290666239. The next prime is 290666263. The reversal of 290666240 is 42666092.

It is a self number, because there is not a number n which added to its sum of digits gives 290666240.

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 7 ways as a sum of consecutive naturals, for example, 52400 + ... + 57680.

Almost surely, 2290666240 is an apocalyptic number.

290666240 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 290666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356281464).

290666240 is an abundant number, since it is smaller than the sum of its proper divisors (421896688).

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

290666240 is an equidigital number, since it uses as much as digits as its factorization.

290666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 290666240 is about 17048.9366237311. The cubic root of 290666240 is about 662.4170936957.

The spelling of 290666240 in words is "two hundred ninety million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 860 1280 1376 1720 2752 3440 5281 5504 6880 10562 11008 13760 21124 26405 27520 42248 52810 55040 84496 105620 168992 211240 227083 337984 422480 454166 675968 844960 908332 1135415 1351936 1689920 1816664 2270830 3379840 3633328 4541660 6759680 7266656 9083320 14533312 18166640 29066624 36333280 58133248 72666560 145333120 290666240