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290153164 = 22743534547
BaseRepresentation
bin10001010010110…
…110001011001100
3202012222022022111
4101102312023030
51043234400124
644442553404
710122155410
oct2122661314
9665868274
10290153164
11139869404
1281208864
1348160b82
142a76cd40
151a716494
hex114b62cc

290153164 has 48 divisors (see below), whose sum is σ = 605138688. Its totient is φ = 119141568.

The previous prime is 290153159. The next prime is 290153177. The reversal of 290153164 is 461351092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61539 + ... + 66085.

It is an arithmetic number, because the mean of its divisors is an integer number (12607056).

Almost surely, 2290153164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290153164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302569344).

290153164 is an abundant number, since it is smaller than the sum of its proper divisors (314985524).

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

290153164 is a wasteful number, since it uses less digits than its factorization.

290153164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 290153164 is about 17033.8828221871. The cubic root of 290153164 is about 662.0271040341.

It can be divided in two parts, 2901 and 53164, that added together give a palindrome (56065).

The spelling of 290153164 in words is "two hundred ninety million, one hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 53 86 106 172 212 301 371 602 742 1204 1484 2279 4547 4558 9094 9116 15953 18188 31829 31906 63658 63812 127316 195521 240991 391042 481982 782084 963964 1368647 1686937 2737294 3373874 5474588 6747748 10362613 20725226 41450452 72538291 145076582 290153164