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20164625 = 531312409
BaseRepresentation
bin100110011101…
…1000000010001
31101221110122222
41030323000101
520130232000
62000110425
7333252665
oct114730021
941843588
1020164625
1110422a88
126905415
134240340
14296c8a5
151b84a85
hex133b011

20164625 has 16 divisors (see below), whose sum is σ = 27103440. Its totient is φ = 14889600.

The previous prime is 20164621. The next prime is 20164631. The reversal of 20164625 is 52646102.

It can be written as a sum of positive squares in 8 ways, for example, as 16192576 + 3972049 = 4024^2 + 1993^2 .

It is not a de Polignac number, because 20164625 - 22 = 20164621 is a prime.

It is a super-2 number, since 2×201646252 = 813224202781250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20164594 and 20164603.

It is not an unprimeable number, because it can be changed into a prime (20164621) 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, 4580 + ... + 7829.

It is an arithmetic number, because the mean of its divisors is an integer number (1693965).

Almost surely, 220164625 is an apocalyptic number.

20164625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20164625 is a deficient number, since it is larger than the sum of its proper divisors (6938815).

20164625 is a wasteful number, since it uses less digits than its factorization.

20164625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12437 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 20164625 is about 4490.5038692779. The cubic root of 20164625 is about 272.1844958285.

It can be divided in two parts, 20164 and 625, that multiplied together give a square (12602500 = 35502).

The spelling of 20164625 in words is "twenty million, one hundred sixty-four thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 12409 62045 161317 310225 806585 1551125 4032925 20164625