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290961620 = 22531745893
BaseRepresentation
bin10001010101111…
…011100011010100
3202021111101022022
4101111323203110
51043441232440
644512152312
710132063415
oct2125734324
9667441268
10290961620
1113a270854
1281538698
1348384b51
142a8dd80c
151a825cb5
hex1157b8d4

290961620 has 24 divisors (see below), whose sum is σ = 612960264. Its totient is φ = 116014976.

The previous prime is 290961617. The next prime is 290961623. The reversal of 290961620 is 26169092.

It is an interprime number because it is at equal distance from previous prime (290961617) and next prime (290961623).

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 287166916 = 1948^2 + 16946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290961623) 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, 16607 + ... + 29286.

It is an arithmetic number, because the mean of its divisors is an integer number (25540011).

Almost surely, 2290961620 is an apocalyptic number.

290961620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290961620 is an abundant number, since it is smaller than the sum of its proper divisors (321998644).

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

290961620 is a wasteful number, since it uses less digits than its factorization.

290961620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46219 (or 46217 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 290961620 is about 17057.5971344149. The cubic root of 290961620 is about 662.6414042534.

The spelling of 290961620 in words is "two hundred ninety million, nine hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 45893 91786 183572 229465 458930 917860 14548081 29096162 58192324 72740405 145480810 290961620