Search a number
-
+
20646456 = 23323113331
BaseRepresentation
bin100111011000…
…0101000111000
31102211221121120
41032300220320
520241141311
62014305240
7340330515
oct116605070
942757546
1020646456
1110721a96
126ab8220
13437b74c
142a5630c
151c2c706
hex13b0a38

20646456 has 64 divisors (see below), whose sum is σ = 54501120. Its totient is φ = 6504960.

The previous prime is 20646443. The next prime is 20646467. The reversal of 20646456 is 65464602.

It is a super-2 number, since 2×206464562 = 852552290719872, which contains 22 as substring.

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, 62211 + ... + 62541.

It is an arithmetic number, because the mean of its divisors is an integer number (851580).

Almost surely, 220646456 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 20646456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250560).

20646456 is an abundant number, since it is smaller than the sum of its proper divisors (33854664).

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

20646456 is a wasteful number, since it uses less digits than its factorization.

20646456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 20646456 is about 4543.8371449690. The cubic root of 20646456 is about 274.3353912379.

The spelling of 20646456 in words is "twenty million, six hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 184 226 276 331 339 452 552 662 678 904 993 1324 1356 1986 2599 2648 2712 3972 5198 7613 7797 7944 10396 15226 15594 20792 22839 30452 31188 37403 45678 60904 62376 74806 91356 112209 149612 182712 224418 299224 448836 860269 897672 1720538 2580807 3441076 5161614 6882152 10323228 20646456