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2659164 = 22319107109
BaseRepresentation
bin1010001001001101011100
312000002200120
422021031130
51140043124
6132554540
731413444
oct12111534
95002616
102659164
111556962
12a82a50
13721491
144d3124
15377d79
hex28935c

2659164 has 48 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 824256.

The previous prime is 2659159. The next prime is 2659177. The reversal of 2659164 is 4619562.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (12960) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

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, 24342 + ... + 24450.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

22659164 is an apocalyptic number.

2659164 is the 872-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2659164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2659164 is an abundant number, since it is smaller than the sum of its proper divisors (3993636).

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

2659164 is a wasteful number, since it uses less digits than its factorization.

2659164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2659164 is about 1630.6943306457. The cubic root of 2659164 is about 138.5420812495.

The spelling of 2659164 in words is "two million, six hundred fifty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 109 114 214 218 228 321 327 428 436 642 654 1284 1308 2033 2071 4066 4142 6099 6213 8132 8284 11663 12198 12426 23326 24396 24852 34989 46652 69978 139956 221597 443194 664791 886388 1329582 2659164