Search a number
-
+
19806780 = 2235726737
BaseRepresentation
bin100101110001…
…1101000111100
31101021021210110
41023203220330
520032304110
61544310020
7330232500
oct113435074
941237713
1019806780
11101a9144
126772310
1341464b6
1428b8300
151b13a20
hex12e3a3c

19806780 has 72 divisors (see below), whose sum is σ = 64523088. Its totient is φ = 4526592.

The previous prime is 19806769. The next prime is 19806791. The reversal of 19806780 is 8760891.

It is an interprime number because it is at equal distance from previous prime (19806769) and next prime (19806791).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429 + ... + 6308.

It is an arithmetic number, because the mean of its divisors is an integer number (896154).

Almost surely, 219806780 is an apocalyptic number.

19806780 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 19806780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32261544).

19806780 is an abundant number, since it is smaller than the sum of its proper divisors (44716308).

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

19806780 is a wasteful number, since it uses less digits than its factorization.

19806780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 19806780 is about 4450.4808728945. The cubic root of 19806780 is about 270.5647985001.

The spelling of 19806780 in words is "nineteen million, eight hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 6737 13474 20211 26948 33685 40422 47159 67370 80844 94318 101055 134740 141477 188636 202110 235795 282954 330113 404220 471590 565908 660226 707385 943180 990339 1320452 1414770 1650565 1980678 2829540 3301130 3961356 4951695 6602260 9903390 19806780