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20593152 = 293241109
BaseRepresentation
bin100111010001…
…1101000000000
31102202020111100
41032203220000
520232440102
62013214400
7340016226
oct116435000
942666440
1020593152
1110695a38
126a91400
1343603c8
142a40b16
151c1ba1c
hex13a3a00

20593152 has 120 divisors (see below), whose sum is σ = 61441380. Its totient is φ = 6635520.

The previous prime is 20593151. The next prime is 20593159. The reversal of 20593152 is 25139502.

20593152 is a `hidden beast` number, since 20 + 593 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 665856 = 4464^2 + 816^2 .

It is not an unprimeable number, because it can be changed into a prime (20593151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188874 + ... + 188982.

Almost surely, 220593152 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 20593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30720690).

20593152 is an abundant number, since it is smaller than the sum of its proper divisors (40848228).

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

20593152 is a wasteful number, since it uses less digits than its factorization.

20593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20593152 is about 4537.9678271226. The cubic root of 20593152 is about 274.0990992525.

The spelling of 20593152 in words is "twenty million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 109 123 128 144 164 192 218 246 256 288 327 328 369 384 436 492 512 576 654 656 738 768 872 981 984 1152 1308 1312 1476 1536 1744 1962 1968 2304 2616 2624 2952 3488 3924 3936 4469 4608 5232 5248 5904 6976 7848 7872 8938 10464 10496 11808 13407 13952 15696 15744 17876 20928 20992 23616 26814 27904 31392 31488 35752 40221 41856 47232 53628 55808 62784 62976 71504 80442 83712 94464 107256 125568 143008 160884 167424 188928 214512 251136 286016 321768 429024 502272 572032 643536 858048 1144064 1287072 1716096 2288128 2574144 3432192 5148288 6864384 10296576 20593152