Search a number
-
+
20554632 = 23327172399
BaseRepresentation
bin100111001101…
…0001110001000
31102200021122200
41032122032020
520230222012
62012320200
7336466020
oct116321610
942607580
1020554632
1110669aaa
126a73060
134348a07
142a30a80
151c103dc
hex139a388

20554632 has 96 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 5524992.

The previous prime is 20554631. The next prime is 20554657. The reversal of 20554632 is 23645502.

20554632 is a `hidden beast` number, since 20 + 5 + 5 + 4 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20554596 and 20554605.

It is not an unprimeable number, because it can be changed into a prime (20554631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7369 + ... + 9767.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 220554632 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 20554632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

20554632 is an abundant number, since it is smaller than the sum of its proper divisors (46837368).

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

20554632 is a wasteful number, since it uses less digits than its factorization.

20554632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 20554632 is about 4533.7216500354. The cubic root of 20554632 is about 273.9280895347.

The spelling of 20554632 in words is "twenty million, five hundred fifty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2399 2856 4284 4798 7197 8568 9596 14394 16793 19192 21591 28788 33586 40783 43182 50379 57576 67172 81566 86364 100758 122349 134344 151137 163132 172728 201516 244698 285481 302274 326264 367047 403032 489396 570962 604548 734094 856443 978792 1141924 1209096 1468188 1712886 2283848 2569329 2936376 3425772 5138658 6851544 10277316 20554632