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20129525 = 5213241257
BaseRepresentation
bin100110011001…
…0011011110101
31101212200111222
41030302123311
520123121100
61555240125
7333045443
oct114623365
941780458
1020129525
11103a9679
1268a9045
13422a380
14295db93
151b79485
hex13326f5

20129525 has 24 divisors (see below), whose sum is σ = 27097224. Its totient is φ = 14745600.

The previous prime is 20129503. The next prime is 20129533. The reversal of 20129525 is 52592102.

It can be written as a sum of positive squares in 12 ways, for example, as 1406596 + 18722929 = 1186^2 + 4327^2 .

It is not a de Polignac number, because 20129525 - 28 = 20129269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20129494 and 20129503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78197 + ... + 78453.

It is an arithmetic number, because the mean of its divisors is an integer number (1129051).

Almost surely, 220129525 is an apocalyptic number.

20129525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20129525 is a deficient number, since it is larger than the sum of its proper divisors (6967699).

20129525 is a wasteful number, since it uses less digits than its factorization.

20129525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 20129525 is about 4486.5939196678. The cubic root of 20129525 is about 272.0264761209.

The spelling of 20129525 in words is "twenty million, one hundred twenty-nine thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 241 257 325 1205 1285 3133 3341 6025 6425 15665 16705 61937 78325 83525 309685 805181 1548425 4025905 20129525