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21035052 = 2235171967
BaseRepresentation
bin101000000111…
…1100000101100
31110120200200000
41100033200230
520341110202
62030504300
7343536453
oct120174054
943520600
1021035052
1110967a45
127065090
13448659c
142b17b9a
151ca791c
hex140f82c

21035052 has 144 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 6158592.

The previous prime is 21035029. The next prime is 21035059. The reversal of 21035052 is 25053012.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21035059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313923 + ... + 313989.

It is an arithmetic number, because the mean of its divisors is an integer number (433160).

Almost surely, 221035052 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 21035052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

21035052 is an abundant number, since it is smaller than the sum of its proper divisors (41339988).

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

21035052 is a wasteful number, since it uses less digits than its factorization.

21035052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 21035052 is about 4586.3985871269. The cubic root of 21035052 is about 276.0458335981.

Adding to 21035052 its reverse (25053012), we get a palindrome (46088064).

The spelling of 21035052 in words is "twenty-one million, thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 67 68 76 81 102 108 114 134 153 162 171 201 204 228 243 268 306 323 324 342 402 459 486 513 603 612 646 684 804 918 969 972 1026 1139 1206 1273 1292 1377 1539 1809 1836 1938 2052 2278 2412 2546 2754 2907 3078 3417 3618 3819 3876 4131 4556 4617 5092 5427 5508 5814 6156 6834 7236 7638 8262 8721 9234 10251 10854 11457 11628 13668 15276 16281 16524 17442 18468 20502 21641 21708 22914 26163 30753 32562 34371 34884 41004 43282 45828 52326 61506 64923 65124 68742 78489 86564 92259 103113 104652 123012 129846 137484 156978 184518 194769 206226 259692 276777 309339 313956 369036 389538 412452 553554 584307 618678 779076 1107108 1168614 1237356 1752921 2337228 3505842 5258763 7011684 10517526 21035052