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19965780 = 22325110921
BaseRepresentation
bin100110000101…
…0011101010100
31101120100220100
41030022131110
520102401110
61551534100
7331464162
oct114123524
941510810
1019965780
11102a764a
12682a330
1341a0993
14291a232
151b45bc0
hex130a754

19965780 has 36 divisors (see below), whose sum is σ = 60563412. Its totient is φ = 5324160.

The previous prime is 19965779. The next prime is 19965787. The reversal of 19965780 is 8756991.

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 17943696 = 1422^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19965787) 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, 55281 + ... + 55640.

It is an arithmetic number, because the mean of its divisors is an integer number (1682317).

Almost surely, 219965780 is an apocalyptic number.

19965780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19965780 is an abundant number, since it is smaller than the sum of its proper divisors (40597632).

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

19965780 is a wasteful number, since it uses less digits than its factorization.

19965780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110936 (or 110931 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19965780 is about 4468.3084047545. The cubic root of 19965780 is about 271.2868609961.

It can be divided in two parts, 1996 and 5780, that added together give a 5-th power (7776 = 65).

The spelling of 19965780 in words is "nineteen million, nine hundred sixty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 110921 221842 332763 443684 554605 665526 998289 1109210 1331052 1663815 1996578 2218420 3327630 3993156 4991445 6655260 9982890 19965780