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20268680 = 23529101173
BaseRepresentation
bin100110101010…
…0011010001000
31102010202101212
41031110122020
520142044210
62002232252
7334165235
oct115243210
942122355
1020268680
1110494183
126955688
134278803
14299878c
151ba5805
hex1354688

20268680 has 64 divisors (see below), whose sum is σ = 47919600. Its totient is φ = 7705600.

The previous prime is 20268671. The next prime is 20268691. The reversal of 20268680 is 8686202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18369796 + 1898884 = 4286^2 + 1378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117074 + ... + 117246.

Almost surely, 220268680 is an apocalyptic number.

20268680 is a gapful number since it is divisible by the number (20) 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 20268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23959800).

20268680 is an abundant number, since it is smaller than the sum of its proper divisors (27650920).

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

20268680 is a wasteful number, since it uses less digits than its factorization.

20268680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 20268680 is about 4502.0750771172. The cubic root of 20268680 is about 272.6518750499.

The spelling of 20268680 in words is "twenty million, two hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 101 116 145 173 202 232 290 346 404 505 580 692 808 865 1010 1160 1384 1730 2020 2929 3460 4040 5017 5858 6920 10034 11716 14645 17473 20068 23432 25085 29290 34946 40136 50170 58580 69892 87365 100340 117160 139784 174730 200680 349460 506717 698920 1013434 2026868 2533585 4053736 5067170 10134340 20268680