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20468616 = 2337731669
BaseRepresentation
bin100111000010…
…1001110001000
31102111220122220
41032011032020
520214443431
62010414040
7335660160
oct116051610
942456586
1020468616
1110610413
126a31320
13431880c
142a0b5a0
151be4b96
hex1385388

20468616 has 64 divisors (see below), whose sum is σ = 59318400. Its totient is φ = 5764608.

The previous prime is 20468593. The next prime is 20468627. The reversal of 20468616 is 61686402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11430 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (926850).

Almost surely, 220468616 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 20468616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659200).

20468616 is an abundant number, since it is smaller than the sum of its proper divisors (38849784).

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

20468616 is a wasteful number, since it uses less digits than its factorization.

20468616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20468616 is about 4524.2254585730. The cubic root of 20468616 is about 273.5454484106.

The spelling of 20468616 in words is "twenty million, four hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1669 1752 2044 3066 3338 4088 5007 6132 6676 10014 11683 12264 13352 20028 23366 35049 40056 46732 70098 93464 121837 140196 243674 280392 365511 487348 731022 852859 974696 1462044 1705718 2558577 2924088 3411436 5117154 6822872 10234308 20468616