Search a number
-
+
20434656 = 2531137523
BaseRepresentation
bin100110111110…
…0111011100000
31102110012002010
41031330323200
520212402111
62005552520
7335456154
oct115747340
942405063
1020434656
1110597950
126a15740
134306218
1429dd064
151bd9aa6
hex137cee0

20434656 has 96 divisors (see below), whose sum is σ = 60213888. Its totient is φ = 6013440.

The previous prime is 20434651. The next prime is 20434703. The reversal of 20434656 is 65643402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38811 + ... + 39333.

It is an arithmetic number, because the mean of its divisors is an integer number (627228).

Almost surely, 220434656 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 20434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30106944).

20434656 is an abundant number, since it is smaller than the sum of its proper divisors (39779232).

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

20434656 is a wasteful number, since it uses less digits than its factorization.

20434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 20434656 is about 4520.4707719440. The cubic root of 20434656 is about 273.3940826041.

It can be divided in two parts, 204346 and 56, that added together give a palindrome (204402).

The spelling of 20434656 in words is "twenty million, four hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 523 528 592 814 888 1046 1056 1184 1221 1569 1628 1776 2092 2442 3138 3256 3552 4184 4884 5753 6276 6512 8368 9768 11506 12552 13024 16736 17259 19351 19536 23012 25104 34518 38702 39072 46024 50208 58053 69036 77404 92048 116106 138072 154808 184096 212861 232212 276144 309616 425722 464424 552288 619232 638583 851444 928848 1277166 1702888 1857696 2554332 3405776 5108664 6811552 10217328 20434656