Search a number
-
+
21681536 = 271131499
BaseRepresentation
bin101001010110…
…1010110000000
31111210112110212
41102231112000
521022302121
62052413252
7352201322
oct122552600
944715425
1021681536
1111269728
127317228
134651916
142c45612
151d8425b
hex14ad580

21681536 has 32 divisors (see below), whose sum is σ = 43605000. Its totient is φ = 10737664.

The previous prime is 21681533. The next prime is 21681547. The reversal of 21681536 is 63518612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21681533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13715 + ... + 15213.

Almost surely, 221681536 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 21681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802500).

21681536 is an abundant number, since it is smaller than the sum of its proper divisors (21923464).

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

21681536 is a wasteful number, since it uses less digits than its factorization.

21681536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1614 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 21681536 is about 4656.3436299311. The cubic root of 21681536 is about 278.8453127780.

The spelling of 21681536 in words is "twenty-one million, six hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1499 1808 2998 3616 5996 7232 11992 14464 23984 47968 95936 169387 191872 338774 677548 1355096 2710192 5420384 10840768 21681536