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20834532 = 2232432313
BaseRepresentation
bin100111101111…
…0100011100100
31110012111121100
41033132203210
520313201112
62022320100
7342043035
oct117364344
943174540
1020834532
1110840324
126b89030
134416234
142aa4a8c
151c682dc
hex13de8e4

20834532 has 54 divisors (see below), whose sum is σ = 54090582. Its totient is φ = 6761664.

The previous prime is 20834509. The next prime is 20834551. The reversal of 20834532 is 23543802.

20834532 is a `hidden beast` number, since 208 + 3 + 453 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11249316 + 9585216 = 3354^2 + 3096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20834496 and 20834505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66408 + ... + 66720.

Almost surely, 220834532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20834532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27045291).

20834532 is an abundant number, since it is smaller than the sum of its proper divisors (33256050).

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

20834532 is a wasteful number, since it uses less digits than its factorization.

20834532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 361 counting only the distinct ones).

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

The square root of 20834532 is about 4564.4859513422. The cubic root of 20834532 is about 275.1658811869.

The spelling of 20834532 in words is "twenty million, eight hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 313 387 516 626 774 939 1252 1548 1849 1878 2817 3698 3756 5547 5634 7396 11094 11268 13459 16641 22188 26918 33282 40377 53836 66564 80754 121131 161508 242262 484524 578737 1157474 1736211 2314948 3472422 5208633 6944844 10417266 20834532