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19996960 = 255124981
BaseRepresentation
bin100110001001…
…0000100100000
31101121221200011
41030102010200
520104400320
61552334304
7331654114
oct114220440
941557604
1019996960
1110319015
126844394
1341b1c29
142927744
151b5005a
hex1312120

19996960 has 24 divisors (see below), whose sum is σ = 47243196. Its totient is φ = 7998720.

The previous prime is 19996927. The next prime is 19996961. The reversal of 19996960 is 6969991.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 3055504 = 4116^2 + 1748^2 .

It is not an unprimeable number, because it can be changed into a prime (19996961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 62331 + ... + 62650.

Almost surely, 219996960 is an apocalyptic number.

19996960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19996960 is an abundant number, since it is smaller than the sum of its proper divisors (27246236).

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

19996960 is a wasteful number, since it uses less digits than its factorization.

19996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124996 (or 124988 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 49.

The square root of 19996960 is about 4471.7960597505. The cubic root of 19996960 is about 271.4280079134.

The spelling of 19996960 in words is "nineteen million, nine hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 124981 249962 499924 624905 999848 1249810 1999696 2499620 3999392 4999240 9998480 19996960