Search a number
-
+
20291931 = 3311174019
BaseRepresentation
bin100110101101…
…0000101011011
31102011221022000
41031122011123
520143320211
62002532043
7334323102
oct115320533
942157260
1020291931
11104aa6a0
126967023
13428627a
1429a3039
151bac656
hex135a15b

20291931 has 32 divisors (see below), whose sum is σ = 34732800. Its totient is φ = 11571840.

The previous prime is 20291903. The next prime is 20291969. The reversal of 20291931 is 13919202.

It is not a de Polignac number, because 20291931 - 214 = 20275547 is a prime.

It is a super-2 number, since 2×202919312 = 823524927417522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20291895 and 20291904.

It is not an unprimeable number, because it can be changed into a prime (20291231) 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 31 ways as a sum of consecutive naturals, for example, 3040 + ... + 7058.

It is an arithmetic number, because the mean of its divisors is an integer number (1085400).

Almost surely, 220291931 is an apocalyptic number.

20291931 is a deficient number, since it is larger than the sum of its proper divisors (14440869).

20291931 is a wasteful number, since it uses less digits than its factorization.

20291931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 20291931 is about 4504.6565906848. The cubic root of 20291931 is about 272.7560917728.

The spelling of 20291931 in words is "twenty million, two hundred ninety-one thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 4019 5049 12057 36171 44209 68323 108513 132627 204969 397881 614907 751553 1193643 1844721 2254659 6763977 20291931