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20517684 = 22311374201
BaseRepresentation
bin100111001000…
…1001100110100
31102121101222020
41032101030310
520223031214
62011433140
7336253215
oct116211464
942541866
1020517684
1110644270
126a557b0
134334c55
142a2140c
151c044a9
hex1391334

20517684 has 48 divisors (see below), whose sum is σ = 53651136. Its totient is φ = 6048000.

The previous prime is 20517677. The next prime is 20517719. The reversal of 20517684 is 48671502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2784 + ... + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (1117732).

Almost surely, 220517684 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 20517684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825568).

20517684 is an abundant number, since it is smaller than the sum of its proper divisors (33133452).

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

20517684 is a wasteful number, since it uses less digits than its factorization.

20517684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 20517684 is about 4529.6450192040. The cubic root of 20517684 is about 273.7638578502.

The spelling of 20517684 in words is "twenty million, five hundred seventeen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4201 4884 8402 12603 16804 25206 46211 50412 92422 138633 155437 184844 277266 310874 466311 554532 621748 932622 1709807 1865244 3419614 5129421 6839228 10258842 20517684