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2053164 = 2232343173
BaseRepresentation
bin111110101010000101100
310212022102010
413311100230
51011200124
6112001220
723310621
oct7652054
93768363
102053164
111182633
12830210
1356b6b9
143b6348
152a8529
hex1f542c

2053164 has 48 divisors (see below), whose sum is σ = 5144832. Its totient is φ = 635712.

The previous prime is 2053127. The next prime is 2053189. The reversal of 2053164 is 4613502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2053164.

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 15 ways as a sum of consecutive naturals, for example, 11782 + ... + 11954.

It is an arithmetic number, because the mean of its divisors is an integer number (107184).

22053164 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 2053164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572416).

2053164 is an abundant number, since it is smaller than the sum of its proper divisors (3091668).

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

2053164 is a wasteful number, since it uses less digits than its factorization.

2053164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2053164 is about 1432.8865970481. The cubic root of 2053164 is about 127.0987307570.

Adding to 2053164 its reverse (4613502), we get a palindrome (6666666).

The spelling of 2053164 in words is "two million, fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 173 258 276 346 516 519 692 989 1038 1978 2076 2967 3956 3979 5934 7439 7958 11868 11937 14878 15916 22317 23874 29756 44634 47748 89268 171097 342194 513291 684388 1026582 2053164