Search a number
-
+
19936660 = 225412593
BaseRepresentation
bin100110000001…
…1010110010100
31101111212221211
41030003112110
520100433120
61551151204
7331313242
oct114032624
941455854
1019936660
1110287787
126815504
134190653
14290d792
151b3c25a
hex1303594

19936660 has 36 divisors (see below), whose sum is σ = 42985404. Its totient is φ = 7767040.

The previous prime is 19936633. The next prime is 19936661. The reversal of 19936660 is 6663991.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5934096 + 14002564 = 2436^2 + 3742^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19936661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33324 + ... + 33916.

It is an arithmetic number, because the mean of its divisors is an integer number (1194039).

Almost surely, 219936660 is an apocalyptic number.

19936660 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 19936660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21492702).

19936660 is an abundant number, since it is smaller than the sum of its proper divisors (23048744).

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

19936660 is a wasteful number, since it uses less digits than its factorization.

19936660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 19936660 is about 4465.0487119403. The cubic root of 19936660 is about 271.1549066030.

The spelling of 19936660 in words is "nineteen million, nine hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 593 820 1186 1681 2372 2965 3362 5930 6724 8405 11860 16810 24313 33620 48626 97252 121565 243130 486260 996833 1993666 3987332 4984165 9968330 19936660