Search a number
-
+
20268792 = 2334311009
BaseRepresentation
bin100110101010…
…0011011111000
31102010202120000
41031110123320
520142100132
62002233000
7334165455
oct115243370
942122500
1020268792
1110494275
126955760
13427888b
14299882c
151ba587c
hex13546f8

20268792 has 80 divisors (see below), whose sum is σ = 58660800. Its totient is φ = 6531840.

The previous prime is 20268791. The next prime is 20268799. The reversal of 20268792 is 29786202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20268791) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19584 + ... + 20592.

It is an arithmetic number, because the mean of its divisors is an integer number (733260).

Almost surely, 220268792 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 20268792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29330400).

20268792 is an abundant number, since it is smaller than the sum of its proper divisors (38392008).

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

20268792 is a wasteful number, since it uses less digits than its factorization.

20268792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20268792 is about 4502.0875158086. The cubic root of 20268792 is about 272.6523772525.

The spelling of 20268792 in words is "twenty million, two hundred sixty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1009 1116 1674 2018 2232 2511 3027 3348 4036 5022 6054 6696 8072 9081 10044 12108 18162 20088 24216 27243 31279 36324 54486 62558 72648 81729 93837 108972 125116 163458 187674 217944 250232 281511 326916 375348 563022 653832 750696 844533 1126044 1689066 2252088 2533599 3378132 5067198 6756264 10134396 20268792