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20589504 = 2631373113
BaseRepresentation
bin100111010001…
…0101111000000
31102202001111020
41032202233000
520232331004
62013145440
7340002465
oct116425700
942661436
1020589504
1110693221
126a8b280
13435b850
142a3d66c
151c1a8d9
hex13a2bc0

20589504 has 112 divisors (see below), whose sum is σ = 59996832. Its totient is φ = 6193152.

The previous prime is 20589497. The next prime is 20589523. The reversal of 20589504 is 40598502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182152 + ... + 182264.

It is an arithmetic number, because the mean of its divisors is an integer number (535686).

Almost surely, 220589504 is an apocalyptic number.

20589504 is a gapful number since it is divisible by the number (24) 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 20589504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998416).

20589504 is an abundant number, since it is smaller than the sum of its proper divisors (39407328).

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

20589504 is a wasteful number, since it uses less digits than its factorization.

20589504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 20589504 is about 4537.5658672905. The cubic root of 20589504 is about 274.0829130860.

The spelling of 20589504 in words is "twenty million, five hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 113 146 156 192 208 219 226 292 312 339 416 438 452 584 624 678 832 876 904 949 1168 1248 1356 1469 1752 1808 1898 2336 2496 2712 2847 2938 3504 3616 3796 4407 4672 5424 5694 5876 7008 7232 7592 8249 8814 10848 11388 11752 14016 15184 16498 17628 21696 22776 23504 24747 30368 32996 35256 45552 47008 49494 60736 65992 70512 91104 94016 98988 107237 131984 141024 182208 197976 214474 263968 282048 321711 395952 428948 527936 643422 791904 857896 1286844 1583808 1715792 2573688 3431584 5147376 6863168 10294752 20589504