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20961504 = 25348087
BaseRepresentation
bin100111111110…
…1100011100000
31110102221210000
41033331203200
520331232004
62025140000
7343112154
oct117754340
943387700
1020961504
1110917763
12702a600
13445bc75
142ad9064
151c90c39
hex13fd8e0

20961504 has 60 divisors (see below), whose sum is σ = 61654824. Its totient is φ = 6986304.

The previous prime is 20961467. The next prime is 20961517. The reversal of 20961504 is 40516902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1452 + ... + 6635.

Almost surely, 220961504 is an apocalyptic number.

20961504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20961504 is an abundant number, since it is smaller than the sum of its proper divisors (40693320).

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

20961504 is an equidigital number, since it uses as much as digits as its factorization.

20961504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20961504 is about 4578.3735103200. The cubic root of 20961504 is about 275.7237311157.

It can be divided in two parts, 2096 and 1504, that added together give a square (3600 = 602).

The spelling of 20961504 in words is "twenty million, nine hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8087 16174 24261 32348 48522 64696 72783 97044 129392 145566 194088 218349 258784 291132 388176 436698 582264 655047 776352 873396 1164528 1310094 1746792 2329056 2620188 3493584 5240376 6987168 10480752 20961504