Search a number
-
+
20196624 = 2437231277
BaseRepresentation
bin100110100001…
…0110100010000
31102000002120010
41031002310100
520132242444
62000514520
7333445200
oct115026420
942002503
1020196624
1110445028
12691ba40
134251a86
14297a400
151b8e2b9
hex1342d10

20196624 has 120 divisors (see below), whose sum is σ = 62876928. Its totient is φ = 5564160.

The previous prime is 20196623. The next prime is 20196647. The reversal of 20196624 is 42669102.

It is a junction number, because it is equal to n+sod(n) for n = 20196591 and 20196600.

It is not an unprimeable number, because it can be changed into a prime (20196623) 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, 72774 + ... + 73050.

Almost surely, 220196624 is an apocalyptic number.

20196624 is a gapful number since it is divisible by the number (24) 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 20196624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31438464).

20196624 is an abundant number, since it is smaller than the sum of its proper divisors (42680304).

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

20196624 is a wasteful number, since it uses less digits than its factorization.

20196624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20196624 is about 4494.0654200846. The cubic root of 20196624 is about 272.3283951682.

The spelling of 20196624 in words is "twenty million, one hundred ninety-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 277 294 336 372 392 434 496 554 588 651 744 784 831 868 1108 1176 1302 1488 1519 1662 1736 1939 2216 2352 2604 3038 3324 3472 3878 4432 4557 5208 5817 6076 6648 7756 8587 9114 10416 11634 12152 13296 13573 15512 17174 18228 23268 24304 25761 27146 31024 34348 36456 40719 46536 51522 54292 60109 68696 72912 81438 93072 103044 108584 120218 137392 162876 180327 206088 217168 240436 325752 360654 412176 420763 480872 651504 721308 841526 961744 1262289 1442616 1683052 2524578 2885232 3366104 5049156 6732208 10098312 20196624