Search a number
-
+
20256460 = 2257413529
BaseRepresentation
bin100110101000…
…1011011001100
31102010010122021
41031101123030
520141201320
62002055524
7334114510
oct115213314
942103567
1020256460
1110485a84
12694a5a4
134273093
142994140
151ba1daa
hex13516cc

20256460 has 48 divisors (see below), whose sum is σ = 49815360. Its totient is φ = 6773760.

The previous prime is 20256433. The next prime is 20256461. The reversal of 20256460 is 6465202.

It is not an unprimeable number, because it can be changed into a prime (20256461) 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, 3976 + ... + 7504.

It is an arithmetic number, because the mean of its divisors is an integer number (1037820).

Almost surely, 220256460 is an apocalyptic number.

20256460 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 20256460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24907680).

20256460 is an abundant number, since it is smaller than the sum of its proper divisors (29558900).

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

20256460 is a wasteful number, since it uses less digits than its factorization.

20256460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 20256460 is about 4500.7177205419. The cubic root of 20256460 is about 272.5970700384.

The spelling of 20256460 in words is "twenty million, two hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 3529 5740 7058 14116 17645 24703 35290 49406 70580 98812 123515 144689 247030 289378 494060 578756 723445 1012823 1446890 2025646 2893780 4051292 5064115 10128230 20256460