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2053632 = 2937191
BaseRepresentation
bin111110101011000000000
310212100001110
413311120000
51011204012
6112003320
723312160
oct7653000
93770043
102053632
111182a19
12830540
1356b989
143b65a0
152a873c
hex1f5600

2053632 has 80 divisors (see below), whose sum is σ = 6285312. Its totient is φ = 583680.

The previous prime is 2053631. The next prime is 2053643. The reversal of 2053632 is 2363502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2053599 and 2053608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10657 + ... + 10847.

22053632 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 2053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656).

2053632 is an abundant number, since it is smaller than the sum of its proper divisors (4231680).

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

2053632 is an equidigital number, since it uses as much as digits as its factorization.

2053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2053632 is about 1433.0498944559. The cubic root of 2053632 is about 127.1083870220.

The spelling of 2053632 in words is "two million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 191 192 224 256 336 382 384 448 512 573 672 764 768 896 1146 1337 1344 1528 1536 1792 2292 2674 2688 3056 3584 4011 4584 5348 5376 6112 8022 9168 10696 10752 12224 16044 18336 21392 24448 32088 36672 42784 48896 64176 73344 85568 97792 128352 146688 171136 256704 293376 342272 513408 684544 1026816 2053632