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20434512 = 243761997
BaseRepresentation
bin100110111110…
…0111001010000
31102110011212210
41031330321100
520212401022
62005552120
7335455560
oct115747120
942404783
1020434512
111059782a
126a15640
134306137
1429dcda0
151bd9a0c
hex137ce50

20434512 has 80 divisors (see below), whose sum is σ = 61380992. Its totient is φ = 5736960.

The previous prime is 20434507. The next prime is 20434537. The reversal of 20434512 is 21543402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19998 + ... + 20994.

Almost surely, 220434512 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 20434512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30690496).

20434512 is an abundant number, since it is smaller than the sum of its proper divisors (40946480).

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

20434512 is a wasteful number, since it uses less digits than its factorization.

20434512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20434512 is about 4520.4548443713. The cubic root of 20434512 is about 273.3934404133.

Adding to 20434512 its reverse (21543402), we get a palindrome (41977914).

It can be divided in two parts, 2043 and 4512, that added together give a triangular number (6555 = T114).

The spelling of 20434512 in words is "twenty million, four hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 997 1281 1464 1708 1994 2562 2928 2991 3416 3988 5124 5982 6832 6979 7976 10248 11964 13958 15952 20496 20937 23928 27916 41874 47856 55832 60817 83748 111664 121634 167496 182451 243268 334992 364902 425719 486536 729804 851438 973072 1277157 1459608 1702876 2554314 2919216 3405752 5108628 6811504 10217256 20434512