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21632016 = 243764381
BaseRepresentation
bin101001010000…
…1010000010000
31111201000112210
41102201100100
521014211031
62051352120
7351604050
oct122412020
944630483
1021632016
11112354aa
1272b2640
134635213
142c31560
151d74746
hex14a1410

21632016 has 40 divisors (see below), whose sum is σ = 63866944. Its totient is φ = 6180480.

The previous prime is 21631997. The next prime is 21632059. The reversal of 21632016 is 61023612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21631983 and 21632001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31855 + ... + 32526.

Almost surely, 221632016 is an apocalyptic number.

It is an amenable number.

21632016 is an abundant number, since it is smaller than the sum of its proper divisors (42234928).

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

21632016 is a wasteful number, since it uses less digits than its factorization.

21632016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64399 (or 64393 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21632016 is about 4651.0231132515. The cubic root of 21632016 is about 278.6328594117.

Adding to 21632016 its reverse (61023612), we get a palindrome (82655628).

The spelling of 21632016 in words is "twenty-one million, six hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 64381 128762 193143 257524 386286 450667 515048 772572 901334 1030096 1352001 1545144 1802668 2704002 3090288 3605336 5408004 7210672 10816008 21632016