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20590752 = 2537132357
BaseRepresentation
bin100111010001…
…1000010100000
31102202010012110
41032203002200
520232401002
62013155320
7340006230
oct116430240
942663173
1020590752
1110694156
126a8bb40
13435c2a0
142a3dcc0
151c1ae6c
hex13a30a0

20590752 has 96 divisors (see below), whose sum is σ = 66552192. Its totient is φ = 5428224.

The previous prime is 20590751. The next prime is 20590753. The reversal of 20590752 is 25709502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20590751) and next prime (20590753).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20590751) 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, 7558 + ... + 9914.

It is an arithmetic number, because the mean of its divisors is an integer number (693252).

Almost surely, 220590752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20590752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276096).

20590752 is an abundant number, since it is smaller than the sum of its proper divisors (45961440).

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

20590752 is a wasteful number, since it uses less digits than its factorization.

20590752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 20590752 is about 4537.7033838716. The cubic root of 20590752 is about 274.0884506739.

The spelling of 20590752 in words is "twenty million, five hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2357 2912 4368 4714 7071 8736 9428 14142 16499 18856 28284 30641 32998 37712 49497 56568 61282 65996 75424 91923 98994 113136 122564 131992 183846 197988 214487 226272 245128 263984 367692 395976 428974 490256 527968 643461 735384 791952 857948 980512 1286922 1470768 1583904 1715896 2573844 2941536 3431792 5147688 6863584 10295376 20590752