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20085345 = 325729109
BaseRepresentation
bin100110010011…
…1101001100001
31101210102220200
41030213221201
520120212340
61554255413
7332502600
oct114475141
941712820
1020085345
1110379465
126887569
134213227
14294ba37
151b6b330
hex1327a61

20085345 has 36 divisors (see below), whose sum is σ = 40503060. Its totient is φ = 9180864.

The previous prime is 20085323. The next prime is 20085353. The reversal of 20085345 is 54358002.

It can be written as a sum of positive squares in 2 ways, for example, as 4498641 + 15586704 = 2121^2 + 3948^2 .

It is not a de Polignac number, because 20085345 - 28 = 20085089 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2350 + ... + 6759.

It is an arithmetic number, because the mean of its divisors is an integer number (1125085).

Almost surely, 220085345 is an apocalyptic number.

It is an amenable number.

20085345 is an abundant number, since it is smaller than the sum of its proper divisors (20417715).

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

20085345 is a wasteful number, since it uses less digits than its factorization.

20085345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20085345 is about 4481.6676583611. The cubic root of 20085345 is about 271.8273170438.

The spelling of 20085345 in words is "twenty million, eighty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 9109 27327 45545 63763 81981 136635 191289 318815 409905 446341 573867 956445 1339023 2231705 2869335 4017069 6695115 20085345