Search a number
-
+
20463936 = 263532011
BaseRepresentation
bin100111000010…
…0000101000000
31102111200020120
41032010011000
520214321221
62010340240
7335640423
oct116040500
942450216
1020463936
1110607949
126a2a680
13431664c
142a099ba
151be35c6
hex1384140

20463936 has 56 divisors (see below), whose sum is σ = 55193184. Its totient is φ = 6689280.

The previous prime is 20463907. The next prime is 20463953. The reversal of 20463936 is 63936402.

It is a super-2 number, since 2×204639362 = 837545353224192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20463897 and 20463906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9171 + ... + 11181.

Almost surely, 220463936 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 20463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27596592).

20463936 is an abundant number, since it is smaller than the sum of its proper divisors (34729248).

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

20463936 is a wasteful number, since it uses less digits than its factorization.

20463936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 20463936 is about 4523.7082134019. The cubic root of 20463936 is about 273.5245987632.

The spelling of 20463936 in words is "twenty million, four hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2011 2544 3392 4022 5088 6033 8044 10176 12066 16088 24132 32176 48264 64352 96528 106583 128704 193056 213166 319749 386112 426332 639498 852664 1278996 1705328 2557992 3410656 5115984 6821312 10231968 20463936