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20327967 = 321119101107
BaseRepresentation
bin100110110001…
…0111000011111
31102020202201200
41031202320133
520200443332
62003410543
7334533132
oct115427037
942222650
1020327967
1110524780
126983a53
1342997aa
1429b2219
151bb817c
hex1362e1f

20327967 has 48 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 11448000.

The previous prime is 20327963. The next prime is 20327969. The reversal of 20327967 is 76972302.

It is not a de Polignac number, because 20327967 - 22 = 20327963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20327963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189928 + ... + 190034.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 220327967 is an apocalyptic number.

20327967 is a deficient number, since it is larger than the sum of its proper divisors (14041953).

20327967 is a wasteful number, since it uses less digits than its factorization.

20327967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 20327967 is about 4508.6546773955. The cubic root of 20327967 is about 272.9174568307.

It can be divided in two parts, 2032 and 7967, that added together give a palindrome (9999).

The spelling of 20327967 in words is "twenty million, three hundred twenty-seven thousand, nine hundred sixty-seven".

Divisors: 1 3 9 11 19 33 57 99 101 107 171 209 303 321 627 909 963 1111 1177 1881 1919 2033 3333 3531 5757 6099 9999 10593 10807 17271 18297 21109 22363 32421 63327 67089 97263 118877 189981 201267 205333 356631 615999 1069893 1847997 2258663 6775989 20327967