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290120976 = 24322014729
BaseRepresentation
bin10001010010101…
…110010100010000
3202012220200011100
4101102232110100
51043232332401
644442144400
710121662515
oct2122562420
9665820140
10290120976
11139847202
12811b2100
134814c322
142a76130c
151a70bb86
hex114ae510

290120976 has 30 divisors (see below), whose sum is σ = 811936190. Its totient is φ = 96706944.

The previous prime is 290120953. The next prime is 290120983. The reversal of 290120976 is 679021092.

It can be written as a sum of positive squares in only one way, i.e., 271458576 + 18662400 = 16476^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 290120976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007221 + ... + 1007508.

Almost surely, 2290120976 is an apocalyptic number.

It is an amenable number.

290120976 is an abundant number, since it is smaller than the sum of its proper divisors (521815214).

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

290120976 is a wasteful number, since it uses less digits than its factorization.

290120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014743 (or 2014734 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 290120976 is about 17032.9379732329. The cubic root of 290120976 is about 662.0026225773.

The spelling of 290120976 in words is "two hundred ninety million, one hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2014729 4029458 6044187 8058916 12088374 16117832 18132561 24176748 32235664 36265122 48353496 72530244 96706992 145060488 290120976