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20845332 = 22321734061
BaseRepresentation
bin100111110000…
…1001100010100
31110020001102100
41033201030110
520314022312
62022442100
7342116364
oct117411424
943201370
1020845332
1110848452
126b93330
13441b121
142aa89a4
151c6b5dc
hex13e1314

20845332 has 36 divisors (see below), whose sum is σ = 55793556. Its totient is φ = 6539520.

The previous prime is 20845327. The next prime is 20845333. The reversal of 20845332 is 23354802.

20845332 is a `hidden beast` number, since 208 + 453 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 15256836 = 2364^2 + 3906^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20845296 and 20845305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20845333) 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 11 ways as a sum of consecutive naturals, for example, 16419 + ... + 17642.

It is an arithmetic number, because the mean of its divisors is an integer number (1549821).

Almost surely, 220845332 is an apocalyptic number.

It is an amenable number.

20845332 is an abundant number, since it is smaller than the sum of its proper divisors (34948224).

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

20845332 is a wasteful number, since it uses less digits than its factorization.

20845332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34088 (or 34083 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20845332 is about 4565.6688447587. The cubic root of 20845332 is about 275.2134189024.

The spelling of 20845332 in words is "twenty million, eight hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 34061 68122 102183 136244 204366 306549 408732 579037 613098 1158074 1226196 1737111 2316148 3474222 5211333 6948444 10422666 20845332