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19993020 = 22351721153
BaseRepresentation
bin100110001000…
…1000110111100
31101121202021020
41030101012330
520104234040
61552304140
7331636455
oct114210674
941552236
1019993020
1110316063
126842050
1341b01b8
14292612c
151b4dcd0
hex13111bc

19993020 has 72 divisors (see below), whose sum is σ = 59518704. Its totient is φ = 5013504.

The previous prime is 19993013. The next prime is 19993087. The reversal of 19993020 is 2039991.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16764 + ... + 17916.

Almost surely, 219993020 is an apocalyptic number.

19993020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19993020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29759352).

19993020 is an abundant number, since it is smaller than the sum of its proper divisors (39525684).

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

19993020 is a wasteful number, since it uses less digits than its factorization.

19993020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 19993020 is about 4471.3554991747. The cubic root of 19993020 is about 271.4101802603.

The spelling of 19993020 in words is "nineteen million, nine hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1153 1156 1445 1734 2306 2890 3459 3468 4335 4612 5765 5780 6918 8670 11530 13836 17295 17340 19601 23060 34590 39202 58803 69180 78404 98005 117606 196010 235212 294015 333217 392020 588030 666434 999651 1176060 1332868 1666085 1999302 3332170 3998604 4998255 6664340 9996510 19993020