Search a number
-
+
21101964 = 223131773109
BaseRepresentation
bin101000001111…
…1110110001100
31110201002110020
41100133312030
520400230324
62032142140
7344235522
oct120376614
943632406
1021101964
1110a03244
127097950
1344aab90
142b34312
151cbc679
hex141fd8c

21101964 has 96 divisors (see below), whose sum is σ = 57435840. Its totient is φ = 5971968.

The previous prime is 21101963. The next prime is 21102023. The reversal of 21101964 is 46910112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193542 + ... + 193650.

It is an arithmetic number, because the mean of its divisors is an integer number (598290).

Almost surely, 221101964 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 21101964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28717920).

21101964 is an abundant number, since it is smaller than the sum of its proper divisors (36333876).

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

21101964 is a wasteful number, since it uses less digits than its factorization.

21101964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 21101964 is about 4593.6874077368. The cubic root of 21101964 is about 276.3382221998.

The spelling of 21101964 in words is "twenty-one million, one hundred one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 73 78 102 109 146 156 204 218 219 221 292 327 436 438 442 654 663 876 884 949 1241 1308 1326 1417 1853 1898 2482 2652 2834 2847 3706 3723 3796 4251 4964 5559 5668 5694 7412 7446 7957 8502 11118 11388 14892 15914 16133 17004 22236 23871 24089 31828 32266 47742 48178 48399 64532 72267 95484 96356 96798 103441 135269 144534 193596 206882 270538 289068 310323 405807 413764 541076 620646 811614 1241292 1623228 1758497 3516994 5275491 7033988 10550982 21101964