Search a number
-
+
20791992 = 23313103647
BaseRepresentation
bin100111101010…
…0001010111000
31110010100020210
41033110022320
520310320432
62021351120
7341505024
oct117241270
943110223
1020791992
1110811371
126b684a0
1343cca70
142a93384
151c5a8cc
hex13d42b8

20791992 has 64 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6325632.

The previous prime is 20791987. The next prime is 20791993. The reversal of 20791992 is 29919702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20791992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20791993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31813 + ... + 32459.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 220791992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20791992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

20791992 is an abundant number, since it is smaller than the sum of its proper divisors (35817288).

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

20791992 is a wasteful number, since it uses less digits than its factorization.

20791992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 20791992 is about 4559.8236808017. The cubic root of 20791992 is about 274.9784754503.

The spelling of 20791992 in words is "twenty million, seven hundred ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 618 647 824 1236 1294 1339 1941 2472 2588 2678 3882 4017 5176 5356 7764 8034 8411 10712 15528 16068 16822 25233 32136 33644 50466 66641 67288 100932 133282 199923 201864 266564 399846 533128 799692 866333 1599384 1732666 2598999 3465332 5197998 6930664 10395996 20791992