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20803752 = 23321132557
BaseRepresentation
bin100111101011…
…1000010101000
31110010221101100
41033113002220
520311210002
62021521400
7341554224
oct117270250
943127340
1020803752
111081a192
126b73260
134405218
142a97784
151c5e11c
hex13d70a8

20803752 has 48 divisors (see below), whose sum is σ = 56864340. Its totient is φ = 6870528.

The previous prime is 20803729. The next prime is 20803777. The reversal of 20803752 is 25730802.

It can be written as a sum of positive squares in 2 ways, for example, as 18198756 + 2604996 = 4266^2 + 1614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6858 + ... + 9414.

Almost surely, 220803752 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 20803752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28432170).

20803752 is an abundant number, since it is smaller than the sum of its proper divisors (36060588).

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

20803752 is a wasteful number, since it uses less digits than its factorization.

20803752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20803752 is about 4561.1130220594. The cubic root of 20803752 is about 275.0303085052.

It can be divided in two parts, 2080 and 3752, that added together give a cube (5832 = 183).

The spelling of 20803752 in words is "twenty million, eight hundred three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2557 2712 4068 5114 7671 8136 10228 15342 20456 23013 30684 46026 61368 92052 184104 288941 577882 866823 1155764 1733646 2311528 2600469 3467292 5200938 6934584 10401876 20803752