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20823408 = 2432413527
BaseRepresentation
bin100111101101…
…1110101110000
31110011221100100
41033123311300
520312322113
62022152400
7341665434
oct117336560
943157310
1020823408
1110832a31
126b82700
134411158
142aa09c4
151c64d73
hex13dbd70

20823408 has 60 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 6769920.

The previous prime is 20823359. The next prime is 20823409. The reversal of 20823408 is 80432802.

It is a super-2 number, since 2×208234082 = 867228641468928, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20823409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4141 + ... + 7667.

Almost surely, 220823408 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 20823408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464).

20823408 is an abundant number, since it is smaller than the sum of its proper divisors (38891520).

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

20823408 is a wasteful number, since it uses less digits than its factorization.

20823408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20823408 is about 4563.2672505563. The cubic root of 20823408 is about 275.1169001620.

The spelling of 20823408 in words is "twenty million, eight hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 3527 5904 7054 10581 14108 21162 28216 31743 42324 56432 63486 84648 126972 144607 169296 253944 289214 433821 507888 578428 867642 1156856 1301463 1735284 2313712 2602926 3470568 5205852 6941136 10411704 20823408