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20393406 = 23211127811
BaseRepresentation
bin100110111001…
…0110110111110
31102101002111100
41031302312332
520210042111
62005033530
7335224665
oct115626676
942332440
1020393406
1110569960
1269b58a6
1342c0507
1429cbddc
151bcc756
hex1372dbe

20393406 has 48 divisors (see below), whose sum is σ = 48642048. Its totient is φ = 6123600.

The previous prime is 20393389. The next prime is 20393407. The reversal of 20393406 is 60439302.

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 self number, because there is not a number n which added to its sum of digits gives 20393406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24741 + ... + 25551.

It is an arithmetic number, because the mean of its divisors is an integer number (1013376).

Almost surely, 220393406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20393406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24321024).

20393406 is an abundant number, since it is smaller than the sum of its proper divisors (28248642).

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

20393406 is a wasteful number, since it uses less digits than its factorization.

20393406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20393406 is about 4515.9058891877. The cubic root of 20393406 is about 273.2099982264.

It can be divided in two parts, 2039 and 3406, that added together give a palindrome (5445).

The spelling of 20393406 in words is "twenty million, three hundred ninety-three thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 811 1143 1397 1622 2286 2433 2794 4191 4866 7299 8382 8921 12573 14598 17842 25146 26763 53526 80289 102997 160578 205994 308991 617982 926973 1132967 1853946 2265934 3398901 6797802 10196703 20393406