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20588240 = 245257353
BaseRepresentation
bin100111010001…
…0011011010000
31102201222202102
41032202123100
520232310430
62013135532
7336666011
oct116423320
942658672
1020588240
1110692282
126a8a5a8
13435b0ba
142a3d008
151c1a345
hex13a26d0

20588240 has 20 divisors (see below), whose sum is σ = 47867844. Its totient is φ = 8235264.

The previous prime is 20588213. The next prime is 20588251. The reversal of 20588240 is 4288502.

It can be written as a sum of positive squares in 2 ways, for example, as 3182656 + 17405584 = 1784^2 + 4172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 128597 + ... + 128756.

Almost surely, 220588240 is an apocalyptic number.

20588240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20588240 is an abundant number, since it is smaller than the sum of its proper divisors (27279604).

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

20588240 is a wasteful number, since it uses less digits than its factorization.

20588240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257366 (or 257360 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 20588240 is about 4537.4265834281. The cubic root of 20588240 is about 274.0773042753.

The spelling of 20588240 in words is "twenty million, five hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257353 514706 1029412 1286765 2058824 2573530 4117648 5147060 10294120 20588240