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20595141 = 34725189
BaseRepresentation
bin100111010010…
…0000111000101
31102202100020000
41032210013011
520233021031
62013231513
7340025100
oct116440705
942670200
1020595141
1110697486
126a92599
134361298
142a41737
151c1c3e6
hex13a41c5

20595141 has 30 divisors (see below), whose sum is σ = 35795430. Its totient is φ = 11766384.

The previous prime is 20595139. The next prime is 20595163. The reversal of 20595141 is 14159502.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 1147041 = 4410^2 + 1071^2 .

It is not a de Polignac number, because 20595141 - 21 = 20595139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20595121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1375 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (1193181).

Almost surely, 220595141 is an apocalyptic number.

20595141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20595141 is a deficient number, since it is larger than the sum of its proper divisors (15200289).

20595141 is an equidigital number, since it uses as much as digits as its factorization.

20595141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 20595141 is about 4538.1869727899. The cubic root of 20595141 is about 274.1079236351.

It can be divided in two parts, 20595 and 141, that added together give a 4-th power (20736 = 124).

The spelling of 20595141 in words is "twenty million, five hundred ninety-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5189 15567 36323 46701 108969 140103 254261 326907 420309 762783 980721 2288349 2942163 6865047 20595141