Search a number
-
+
20933528 = 23711171999
BaseRepresentation
bin100111111011…
…0101110011000
31110101112101212
41033312232120
520324333103
62024402252
7342634460
oct117665630
943345355
1020933528
11108a8740
127016388
13444c305
142accba0
151c877d8
hex13f6b98

20933528 has 64 divisors (see below), whose sum is σ = 51840000. Its totient is φ = 7672320.

The previous prime is 20933503. The next prime is 20933531. The reversal of 20933528 is 82533902.

It is a junction number, because it is equal to n+sod(n) for n = 20933494 and 20933503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9473 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 220933528 is an apocalyptic number.

20933528 is a gapful number since it is divisible by the number (28) 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 20933528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

20933528 is an abundant number, since it is smaller than the sum of its proper divisors (30906472).

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

20933528 is a wasteful number, since it uses less digits than its factorization.

20933528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 20933528 is about 4575.3172567594. The cubic root of 20933528 is about 275.6010128017.

The spelling of 20933528 in words is "twenty million, nine hundred thirty-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 1999 2618 3998 5236 7996 10472 13993 15992 21989 27986 33983 43978 55972 67966 87956 111944 135932 153923 175912 237881 271864 307846 373813 475762 615692 747626 951524 1231384 1495252 1903048 2616691 2990504 5233382 10466764 20933528