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290204960 = 25517106693
BaseRepresentation
bin10001010011000…
…010110100100000
3202020001221100212
4101103002310200
51043243024320
644444033252
710122462413
oct2123026440
9666057325
10290204960
111398a4311
1281232828
134817b616
142a783b7a
151a7269c5
hex114c2d20

290204960 has 48 divisors (see below), whose sum is σ = 725945976. Its totient is φ = 109252608.

The previous prime is 290204921. The next prime is 290204989. The reversal of 290204960 is 69402092.

It can be written as a sum of positive squares in 4 ways, for example, as 263867536 + 26337424 = 16244^2 + 5132^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 50627 + ... + 56066.

Almost surely, 2290204960 is an apocalyptic number.

290204960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290204960 is an abundant number, since it is smaller than the sum of its proper divisors (435741016).

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

290204960 is a wasteful number, since it uses less digits than its factorization.

290204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106725 (or 106717 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 290204960 is about 17035.4031358228. The cubic root of 290204960 is about 662.0664950868.

The spelling of 290204960 in words is "two hundred ninety million, two hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 106693 213386 426772 533465 853544 1066930 1707088 1813781 2133860 3414176 3627562 4267720 7255124 8535440 9068905 14510248 17070880 18137810 29020496 36275620 58040992 72551240 145102480 290204960