Search a number
-
+
19938672 = 24321310651
BaseRepresentation
bin100110000001…
…1110101110000
31101111222201100
41030003311300
520101014142
61551204400
7331322145
oct114036560
941458640
1019938672
1110289246
126816700
134191540
1429103cc
151b3cb4c
hex1303d70

19938672 has 60 divisors (see below), whose sum is σ = 60098584. Its totient is φ = 6134400.

The previous prime is 19938661. The next prime is 19938679. The reversal of 19938672 is 27683991.

It is a super-2 number, since 2×199386722 = 795101282247168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19938679) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3454 + ... + 7197.

Almost surely, 219938672 is an apocalyptic number.

19938672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19938672 is an abundant number, since it is smaller than the sum of its proper divisors (40159912).

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

19938672 is a wasteful number, since it uses less digits than its factorization.

19938672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10669 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 19938672 is about 4465.2740117489. The cubic root of 19938672 is about 271.1640279122.

The spelling of 19938672 in words is "nineteen million, nine hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 10651 21302 31953 42604 63906 85208 95859 127812 138463 170416 191718 255624 276926 383436 415389 511248 553852 766872 830778 1107704 1246167 1533744 1661556 2215408 2492334 3323112 4984668 6646224 9969336 19938672