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290692640 = 2557259547
BaseRepresentation
bin10001010100111…
…001111000100000
3202020222201100002
4101110321320200
51043404131030
644502315132
710126563260
oct2124717040
9666881302
10290692640
1113a0a7757
1281428aa8
13482bc5a4
142a86d7a0
151a7c1245
hex11539e20

290692640 has 48 divisors (see below), whose sum is σ = 784873152. Its totient is φ = 99665664.

The previous prime is 290692631. The next prime is 290692663. The reversal of 290692640 is 46296092.

It is a junction number, because it is equal to n+sod(n) for n = 290692594 and 290692603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128654 + ... + 130893.

It is an arithmetic number, because the mean of its divisors is an integer number (16351524).

Almost surely, 2290692640 is an apocalyptic number.

290692640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290692640 is an abundant number, since it is smaller than the sum of its proper divisors (494180512).

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

290692640 is a wasteful number, since it uses less digits than its factorization.

290692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259569 (or 259561 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 290692640 is about 17049.7108479880. The cubic root of 290692640 is about 662.4371479474.

The spelling of 290692640 in words is "two hundred ninety million, six hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 259547 519094 1038188 1297735 1816829 2076376 2595470 3633658 4152752 5190940 7267316 8305504 9084145 10381880 14534632 18168290 20763760 29069264 36336580 41527520 58138528 72673160 145346320 290692640