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19965990 = 23511173559
BaseRepresentation
bin100110000101…
…0100000100110
31101120101012010
41030022200212
520102402430
61551535050
7331464612
oct114124046
941511163
1019965990
11102a7820
12682a486
1341a0ac5
14291a342
151b45cb0
hex130a826

19965990 has 64 divisors (see below), whose sum is σ = 55365120. Its totient is φ = 4554240.

The previous prime is 19965961. The next prime is 19965997. The reversal of 19965990 is 9956991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19965997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3831 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (865080).

Almost surely, 219965990 is an apocalyptic number.

19965990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19965990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27682560).

19965990 is an abundant number, since it is smaller than the sum of its proper divisors (35399130).

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

19965990 is a wasteful number, since it uses less digits than its factorization.

19965990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597.

The product of its (nonzero) digits is 196830, while the sum is 48.

The square root of 19965990 is about 4468.3319035184. The cubic root of 19965990 is about 271.2878121242.

The spelling of 19965990 in words is "nineteen million, nine hundred sixty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 3559 5610 7118 10677 17795 21354 35590 39149 53385 60503 78298 106770 117447 121006 181509 195745 234894 302515 363018 391490 587235 605030 665533 907545 1174470 1331066 1815090 1996599 3327665 3993198 6655330 9982995 19965990