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290429960 = 23514295081
BaseRepresentation
bin10001010011111…
…001110000001000
3202020111101000012
4101103321300020
51043322224320
644452531052
710124420402
oct2123716010
9666441005
10290429960
11139a38367
1281320a88
1348229b62
142a801b72
151a76d4c5
hex114f9c08

290429960 has 32 divisors (see below), whose sum is σ = 654053400. Its totient is φ = 116067840.

The previous prime is 290429959. The next prime is 290429963. The reversal of 290429960 is 69924092.

It can be written as a sum of positive squares in 4 ways, for example, as 104325796 + 186104164 = 10214^2 + 13642^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (290429963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54620 + ... + 59700.

Almost surely, 2290429960 is an apocalyptic number.

290429960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290429960 is an abundant number, since it is smaller than the sum of its proper divisors (363623440).

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

290429960 is a wasteful number, since it uses less digits than its factorization.

290429960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 290429960 is about 17042.0057504978. The cubic root of 290429960 is about 662.2375540512.

The spelling of 290429960 in words is "two hundred ninety million, four hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1429 2858 5081 5716 7145 10162 11432 14290 20324 25405 28580 40648 50810 57160 101620 203240 7260749 14521498 29042996 36303745 58085992 72607490 145214980 290429960