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20952560 = 2451811447
BaseRepresentation
bin100111111101…
…1010111110000
31110102111111202
41033323113300
520330440220
62025030332
7343044116
oct117732760
943374452
1020952560
1110910a72
1270253a8
134457b85
142ad5ab6
151c8d275
hex13fb5f0

20952560 has 40 divisors (see below), whose sum is σ = 49017696. Its totient is φ = 8328960.

The previous prime is 20952541. The next prime is 20952577. The reversal of 20952560 is 6525902.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13757 + ... + 15203.

Almost surely, 220952560 is an apocalyptic number.

20952560 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 20952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24508848).

20952560 is an abundant number, since it is smaller than the sum of its proper divisors (28065136).

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

20952560 is a wasteful number, since it uses less digits than its factorization.

20952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 20952560 is about 4577.3966400127. The cubic root of 20952560 is about 275.6845096317.

It can be divided in two parts, 20952 and 560, that added together give a palindrome (21512).

The spelling of 20952560 in words is "twenty million, nine hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1447 1448 1810 2894 2896 3620 5788 7235 7240 11576 14470 14480 23152 28940 57880 115760 261907 523814 1047628 1309535 2095256 2619070 4190512 5238140 10476280 20952560