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290459940 = 223529166931
BaseRepresentation
bin10001010100000…
…001000100100100
3202020112220010120
4101110001010210
51043324204230
644453321540
710124603661
oct2124010444
9666486116
10290459940
11139a58941
12813362b0
134823a6b4
142a80ca68
151a777310
hex11501124

290459940 has 48 divisors (see below), whose sum is σ = 841337280. Its totient is φ = 74784640.

The previous prime is 290459929. The next prime is 290459957. The reversal of 290459940 is 49954092.

It is a junction number, because it is equal to n+sod(n) for n = 290459892 and 290459901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81726 + ... + 85205.

It is an arithmetic number, because the mean of its divisors is an integer number (17527860).

Almost surely, 2290459940 is an apocalyptic number.

290459940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290459940 is an abundant number, since it is smaller than the sum of its proper divisors (550877340).

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

290459940 is a wasteful number, since it uses less digits than its factorization.

290459940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166972 (or 166970 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 290459940 is about 17042.8853191002. The cubic root of 290459940 is about 662.2603400369.

The spelling of 290459940 in words is "two hundred ninety million, four hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 166931 333862 500793 667724 834655 1001586 1669310 2003172 2503965 3338620 4840999 5007930 9681998 10015860 14522997 19363996 24204995 29045994 48409990 58091988 72614985 96819980 145229970 290459940