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20868672 = 2631141241
BaseRepresentation
bin100111110011…
…0111001000000
31110021020102210
41033212321000
520320244142
62023142120
7342244416
oct117467100
943236383
1020868672
1110863a40
126ba4940
134428936
142ab32b6
151c7349c
hex13e6e40

20868672 has 112 divisors (see below), whose sum is σ = 61959744. Its totient is φ = 6144000.

The previous prime is 20868671. The next prime is 20868733. The reversal of 20868672 is 27686802.

It is a self number, because there is not a number n which added to its sum of digits gives 20868672.

It is not an unprimeable number, because it can be changed into a prime (20868671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86472 + ... + 86712.

It is an arithmetic number, because the mean of its divisors is an integer number (553212).

Almost surely, 220868672 is an apocalyptic number.

20868672 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 20868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30979872).

20868672 is an abundant number, since it is smaller than the sum of its proper divisors (41091072).

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

20868672 is a wasteful number, since it uses less digits than its factorization.

20868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 20868672 is about 4568.2241626260. The cubic root of 20868672 is about 275.3160971309.

The spelling of 20868672 in words is "twenty million, eight hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 241 246 264 328 352 451 482 492 528 656 704 723 902 964 984 1056 1312 1353 1446 1804 1928 1968 2112 2624 2651 2706 2892 3608 3856 3936 5302 5412 5784 7216 7712 7872 7953 9881 10604 10824 11568 14432 15424 15906 19762 21208 21648 23136 28864 29643 31812 39524 42416 43296 46272 59286 63624 79048 84832 86592 108691 118572 127248 158096 169664 217382 237144 254496 316192 326073 434764 474288 508992 632384 652146 869528 948576 1304292 1739056 1897152 2608584 3478112 5217168 6956224 10434336 20868672