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2684264 = 231124759
BaseRepresentation
bin1010001111010101101000
312001101010012
422033111220
51141344024
6133311052
731546562
oct12172550
95041105
102684264
111573800
12a95488
1372ca2b
144dc332
1538050e
hex28f568

2684264 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 1173920.

The previous prime is 2684257. The next prime is 2684273. The reversal of 2684264 is 4624862.

It is a happy number.

2684264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2684264.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45467 + ... + 45525.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

22684264 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 2684264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2684264 is an abundant number, since it is smaller than the sum of its proper divisors (3061336).

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

2684264 is a wasteful number, since it uses less digits than its factorization.

2684264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2684264 is about 1638.3723630482. The cubic root of 2684264 is about 138.9766190855.

The spelling of 2684264 in words is "two million, six hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 47 59 88 94 118 121 188 236 242 376 472 484 517 649 968 1034 1298 2068 2596 2773 4136 5192 5546 5687 7139 11092 11374 14278 22184 22748 28556 30503 45496 57112 61006 122012 244024 335533 671066 1342132 2684264