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20192580 = 22325112181
BaseRepresentation
bin100110100000…
…1110101000100
31101222220000100
41031001311010
520132130310
62000444100
7333430332
oct115016504
941886010
1020192580
1110441a91
126919630
13424cc95
142978b52
151b8cec0
hex1341d44

20192580 has 36 divisors (see below), whose sum is σ = 61251372. Its totient is φ = 5384640.

The previous prime is 20192561. The next prime is 20192581. The reversal of 20192580 is 8529102.

It can be written as a sum of positive squares in 2 ways, for example, as 14884164 + 5308416 = 3858^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20192581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55911 + ... + 56270.

It is an arithmetic number, because the mean of its divisors is an integer number (1701427).

Almost surely, 220192580 is an apocalyptic number.

20192580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20192580 is an abundant number, since it is smaller than the sum of its proper divisors (41058792).

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

20192580 is a wasteful number, since it uses less digits than its factorization.

20192580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112196 (or 112191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 20192580 is about 4493.6154708653. The cubic root of 20192580 is about 272.3102177154.

The spelling of 20192580 in words is "twenty million, one hundred ninety-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 112181 224362 336543 448724 560905 673086 1009629 1121810 1346172 1682715 2019258 2243620 3365430 4038516 5048145 6730860 10096290 20192580