Search a number
-
+
19936656 = 2432138449
BaseRepresentation
bin100110000001…
…1010110010000
31101111212221200
41030003112100
520100433111
61551151200
7331313235
oct114032620
941455850
1019936656
1110287783
126815500
13419064c
14290d78c
151b3c256
hex1303590

19936656 has 30 divisors (see below), whose sum is σ = 55795350. Its totient is φ = 6645504.

The previous prime is 19936633. The next prime is 19936661. The reversal of 19936656 is 65663991.

It can be written as a sum of positive squares in only one way, i.e., 19501056 + 435600 = 4416^2 + 660^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69081 + ... + 69368.

It is an arithmetic number, because the mean of its divisors is an integer number (1859845).

Almost surely, 219936656 is an apocalyptic number.

19936656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19936656 is an abundant number, since it is smaller than the sum of its proper divisors (35858694).

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

19936656 is a wasteful number, since it uses less digits than its factorization.

19936656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138463 (or 138454 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 19936656 is about 4465.0482640169. The cubic root of 19936656 is about 271.1548884686.

It can be divided in two parts, 1993 and 6656, that added together give a square (8649 = 932).

The spelling of 19936656 in words is "nineteen million, nine hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 138449 276898 415347 553796 830694 1107592 1246041 1661388 2215184 2492082 3322776 4984164 6645552 9968328 19936656