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2053376 = 2813617
BaseRepresentation
bin111110101010100000000
310212022200222
413311110000
51011202001
6112002212
723311343
oct7652400
93768628
102053376
111182806
12830368
1356b820
143b645a
152a861b
hex1f5500

2053376 has 36 divisors (see below), whose sum is σ = 4421172. Its totient is φ = 946176.

The previous prime is 2053361. The next prime is 2053397. The reversal of 2053376 is 6733502.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 1893376 = 400^2 + 1376^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3020 + ... + 3636.

22053376 is an apocalyptic number.

2053376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210586).

2053376 is an abundant number, since it is smaller than the sum of its proper divisors (2367796).

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

2053376 is an equidigital number, since it uses as much as digits as its factorization.

2053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 2053376 is about 1432.9605716837. The cubic root of 2053376 is about 127.1031051443.

Adding to 2053376 its reverse (6733502), we get a palindrome (8786878).

The spelling of 2053376 in words is "two million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 617 832 1234 1664 2468 3328 4936 8021 9872 16042 19744 32084 39488 64168 78976 128336 157952 256672 513344 1026688 2053376