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20266752 = 283112399
BaseRepresentation
bin100110101001…
…1111100000000
31102010122202110
41031103330000
520142014002
62002215320
7334156512
oct115237400
942118673
1020266752
1110492790
126954540
13427797c
142997bb2
151ba4e6c
hex1353f00

20266752 has 72 divisors (see below), whose sum is σ = 58867200. Its totient is φ = 6138880.

The previous prime is 20266733. The next prime is 20266759. The reversal of 20266752 is 25766202.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20266759) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7249 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 220266752 is an apocalyptic number.

20266752 is a gapful number since it is divisible by the number (22) 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 20266752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29433600).

20266752 is an abundant number, since it is smaller than the sum of its proper divisors (38600448).

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

20266752 is a wasteful number, since it uses less digits than its factorization.

20266752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 20266752 is about 4501.8609485412. The cubic root of 20266752 is about 272.6432297001.

It can be divided in two parts, 2026 and 6752, that added together give a palindrome (8778).

The spelling of 20266752 in words is "twenty million, two hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2399 2816 4224 4798 7197 8448 9596 14394 19192 26389 28788 38384 52778 57576 76768 79167 105556 115152 153536 158334 211112 230304 307072 316668 422224 460608 614144 633336 844448 921216 1266672 1688896 1842432 2533344 3377792 5066688 6755584 10133376 20266752