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290916 = 22328081
BaseRepresentation
bin1000111000001100100
3112210001200
41013001210
533302131
610122500
72321103
oct1070144
9483050
10290916
1118962a
12120430
13a2552
147803a
155b2e6
hex47064

290916 has 18 divisors (see below), whose sum is σ = 735462. Its totient is φ = 96960.

The previous prime is 290897. The next prime is 290923. The reversal of 290916 is 619092.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 60516 = 480^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 290916.

It is an unprimeable number.

290916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4005 + ... + 4076.

It is an arithmetic number, because the mean of its divisors is an integer number (40859).

2290916 is an apocalyptic number.

It is an amenable number.

290916 is an abundant number, since it is smaller than the sum of its proper divisors (444546).

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

290916 is a wasteful number, since it uses less digits than its factorization.

290916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 290916 is about 539.3662948313. The cubic root of 290916 is about 66.2606770498.

The spelling of 290916 in words is "two hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 8081 16162 24243 32324 48486 72729 96972 145458 290916