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20240960 = 265431471
BaseRepresentation
bin100110100110…
…1101001000000
31102002100101012
41031031221000
520140202320
62001500052
7334021355
oct115155100
942070335
1020240960
1110475373
126941628
134268ccc
14298c62c
151b9c4c5
hex134da40

20240960 has 56 divisors (see below), whose sum is σ = 49353216. Its totient is φ = 7902720.

The previous prime is 20240933. The next prime is 20240963. The reversal of 20240960 is 6904202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13025 + ... + 14495.

Almost surely, 220240960 is an apocalyptic number.

20240960 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 20240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676608).

20240960 is an abundant number, since it is smaller than the sum of its proper divisors (29112256).

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

20240960 is a wasteful number, since it uses less digits than its factorization.

20240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20240960 is about 4498.9954434296. The cubic root of 20240960 is about 272.5275229614.

The spelling of 20240960 in words is "twenty million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1471 1720 2752 2942 3440 5884 6880 7355 11768 13760 14710 23536 29420 47072 58840 63253 94144 117680 126506 235360 253012 316265 470720 506024 632530 1012048 1265060 2024096 2530120 4048192 5060240 10120480 20240960