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20332004 = 22711251263
BaseRepresentation
bin100110110001…
…1110111100100
31102020222021012
41031203313210
520201111004
62003441352
7334550660
oct115436744
942228235
1020332004
1110527810
126986258
13429b594
1429b38a0
151bb946e
hex1363de4

20332004 has 48 divisors (see below), whose sum is σ = 44706816. Its totient is φ = 7860000.

The previous prime is 20331989. The next prime is 20332043. The reversal of 20332004 is 40023302.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 20332004.

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, 77177 + ... + 77439.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 220332004 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 20332004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

20332004 is an abundant number, since it is smaller than the sum of its proper divisors (24374812).

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

20332004 is a wasteful number, since it uses less digits than its factorization.

20332004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 20332004 is about 4509.1023496922. The cubic root of 20332004 is about 272.9355221697.

Adding to 20332004 its reverse (40023302), we get a palindrome (60355306).

The spelling of 20332004 in words is "twenty million, three hundred thirty-two thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 251 263 308 502 526 1004 1052 1757 1841 2761 2893 3514 3682 5522 5786 7028 7364 11044 11572 19327 20251 38654 40502 66013 77308 81004 132026 264052 462091 726143 924182 1452286 1848364 2904572 5083001 10166002 20332004