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290572240 = 24573971307
BaseRepresentation
bin10001010100011…
…100011111010000
3202020202121011211
4101110130133100
51043341302430
644455545504
710125552250
oct2124343720
9666677154
10290572240
1113a025252
128138b294
134827984a
142a83b960
151a79a72a
hex1151c7d0

290572240 has 80 divisors (see below), whose sum is σ = 774628992. Its totient is φ = 99297792.

The previous prime is 290572237. The next prime is 290572241. The reversal of 290572240 is 42275092.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290572241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221667 + ... + 222973.

Almost surely, 2290572240 is an apocalyptic number.

290572240 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 290572240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387314496).

290572240 is an abundant number, since it is smaller than the sum of its proper divisors (484056752).

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

290572240 is a wasteful number, since it uses less digits than its factorization.

290572240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 290572240 is about 17046.1796306386. The cubic root of 290572240 is about 662.3456785446.

The spelling of 290572240 in words is "two hundred ninety million, five hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 397 560 794 1307 1588 1985 2614 2779 3176 3970 5228 5558 6352 6535 7940 9149 10456 11116 13070 13895 15880 18298 20912 22232 26140 27790 31760 36596 44464 45745 52280 55580 73192 91490 104560 111160 146384 182980 222320 365960 518879 731920 1037758 2075516 2594395 3632153 4151032 5188790 7264306 8302064 10377580 14528612 18160765 20755160 29057224 36321530 41510320 58114448 72643060 145286120 290572240