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20253168 = 24321331349
BaseRepresentation
bin100110101000…
…0100111110000
31102002222010100
41031100213300
520141100133
62002032400
7334102065
oct115204760
942088110
1020253168
1110483561
126948700
134271730
142992c6c
151ba0e13
hex13509f0

20253168 has 120 divisors (see below), whose sum is σ = 63190400. Its totient is φ = 6013440.

The previous prime is 20253161. The next prime is 20253169. The reversal of 20253168 is 86135202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20253161) 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 23 ways as a sum of consecutive naturals, for example, 57858 + ... + 58206.

Almost surely, 220253168 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 20253168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595200).

20253168 is an abundant number, since it is smaller than the sum of its proper divisors (42937232).

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

20253168 is a wasteful number, since it uses less digits than its factorization.

20253168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20253168 is about 4500.3519862340. The cubic root of 20253168 is about 272.5823021047.

The spelling of 20253168 in words is "twenty million, two hundred fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 349 372 403 468 496 558 624 698 744 806 936 1047 1116 1209 1396 1488 1612 1872 2094 2232 2418 2792 3141 3224 3627 4188 4464 4537 4836 5584 6282 6448 7254 8376 9074 9672 10819 12564 13611 14508 16752 18148 19344 21638 25128 27222 29016 32457 36296 40833 43276 50256 54444 58032 64914 72592 81666 86552 97371 108888 129828 140647 163332 173104 194742 217776 259656 281294 326664 389484 421941 519312 562588 653328 778968 843882 1125176 1265823 1557936 1687764 2250352 2531646 3375528 5063292 6751056 10126584 20253168