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20584050 = 2352413347
BaseRepresentation
bin100111010000…
…1011001110010
31102201210000020
41032201121302
520232142200
62013104310
7336650544
oct116413162
942653006
1020584050
111068a113
126a88096
134359216
142a3b694
151c18ea0
hex13a1672

20584050 has 48 divisors (see below), whose sum is σ = 52309152. Its totient is φ = 5353600.

The previous prime is 20584037. The next prime is 20584117. The reversal of 20584050 is 5048502.

It is a super-2 number, since 2×205840502 = 847406228805000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20584050.

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, 4477 + ... + 7823.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 220584050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20584050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26154576).

20584050 is an abundant number, since it is smaller than the sum of its proper divisors (31725102).

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

20584050 is a wasteful number, since it uses less digits than its factorization.

20584050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 20584050 is about 4536.9648444748. The cubic root of 20584050 is about 274.0587101358.

It can be divided in two parts, 205 and 84050, that added together give a triangular number (84255 = T410).

The spelling of 20584050 in words is "twenty million, five hundred eighty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1025 1230 2050 3075 3347 6150 6694 10041 16735 20082 33470 50205 83675 100410 137227 167350 251025 274454 411681 502050 686135 823362 1372270 2058405 3430675 4116810 6861350 10292025 20584050