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19967696 = 247225469
BaseRepresentation
bin100110000101…
…0111011010000
31101120110112022
41030022323100
520102431241
61551551012
7331502600
oct114127320
941513468
1019967696
11102a9031
12682b468
1341a1808
14291ac00
151b4654b
hex130aed0

19967696 has 30 divisors (see below), whose sum is σ = 45005490. Its totient is φ = 8557248.

The previous prime is 19967693. The next prime is 19967711. The reversal of 19967696 is 69676991.

It can be written as a sum of positive squares in only one way, i.e., 18835600 + 1132096 = 4340^2 + 1064^2 .

It is a super-3 number, since 3×199676963 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19967693) 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 5 ways as a sum of consecutive naturals, for example, 11951 + ... + 13518.

It is an arithmetic number, because the mean of its divisors is an integer number (1500183).

Almost surely, 219967696 is an apocalyptic number.

19967696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19967696 is an abundant number, since it is smaller than the sum of its proper divisors (25037794).

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

19967696 is a wasteful number, since it uses less digits than its factorization.

19967696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25491 (or 25478 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 53.

The square root of 19967696 is about 4468.5227984201. The cubic root of 19967696 is about 271.2955386603.

The spelling of 19967696 in words is "nineteen million, nine hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 25469 50938 101876 178283 203752 356566 407504 713132 1247981 1426264 2495962 2852528 4991924 9983848 19967696