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20676816 = 2433232081
BaseRepresentation
bin100111011100…
…0000011010000
31102220111021000
41032320003100
520243124231
62015102000
7340515156
oct116700320
942814230
1020676816
1110742886
126b11900
13438c504
142a633d6
151c366e6
hex13b80d0

20676816 has 80 divisors (see below), whose sum is σ = 61960320. Its totient is φ = 6589440.

The previous prime is 20676809. The next prime is 20676847. The reversal of 20676816 is 61867602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 8896 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (774504).

Almost surely, 220676816 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 20676816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30980160).

20676816 is an abundant number, since it is smaller than the sum of its proper divisors (41283504).

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

20676816 is a wasteful number, since it uses less digits than its factorization.

20676816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20676816 is about 4547.1767064850. The cubic root of 20676816 is about 274.4697927284.

The spelling of 20676816 in words is "twenty million, six hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2081 2484 3312 4162 4968 6243 8324 9936 12486 16648 18729 24972 33296 37458 47863 49944 56187 74916 95726 99888 112374 143589 149832 191452 224748 287178 299664 382904 430767 449496 574356 765808 861534 898992 1148712 1292301 1723068 2297424 2584602 3446136 5169204 6892272 10338408 20676816