Search a number
-
+
21035124 = 2232113439
BaseRepresentation
bin101000000111…
…1100001110100
31110120200202200
41100033201310
520341110444
62030504500
7343536615
oct120174164
943520680
1021035124
1110968000
127065130
134486626
142b17c0c
151ca7969
hex140f874

21035124 has 72 divisors (see below), whose sum is σ = 58618560. Its totient is φ = 6359760.

The previous prime is 21035123. The next prime is 21035149. The reversal of 21035124 is 42153012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21035097 and 21035106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21035123) 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, 47697 + ... + 48135.

Almost surely, 221035124 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 21035124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29309280).

21035124 is an abundant number, since it is smaller than the sum of its proper divisors (37583436).

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

21035124 is a wasteful number, since it uses less digits than its factorization.

21035124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21035124 is about 4586.4064364162. The cubic root of 21035124 is about 276.0461485530.

Adding to 21035124 its reverse (42153012), we get a palindrome (63188136).

It can be divided in two parts, 2103 and 5124, that added together give a palindrome (7227).

The spelling of 21035124 in words is "twenty-one million, thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 439 484 726 878 1089 1317 1331 1452 1756 2178 2634 2662 3951 3993 4356 4829 5268 5324 7902 7986 9658 11979 14487 15804 15972 19316 23958 28974 43461 47916 53119 57948 86922 106238 159357 173844 212476 318714 478071 584309 637428 956142 1168618 1752927 1912284 2337236 3505854 5258781 7011708 10517562 21035124