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21356384 = 257671423
BaseRepresentation
bin101000101110…
…1111101100000
31111012000110012
41101131331200
520431401014
62041424052
7346345340
oct121357540
944160405
1021356384
1111067405
12719b028
13456991a
142b9cd20
151d1cc3e
hex145df60

21356384 has 48 divisors (see below), whose sum is σ = 48803328. Its totient is φ = 9009792.

The previous prime is 21356381. The next prime is 21356429. The reversal of 21356384 is 48365312.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21356384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21356381) 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 7 ways as a sum of consecutive naturals, for example, 14297 + ... + 15719.

It is an arithmetic number, because the mean of its divisors is an integer number (1016736).

Almost surely, 221356384 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 21356384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24401664).

21356384 is an abundant number, since it is smaller than the sum of its proper divisors (27446944).

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

21356384 is a wasteful number, since it uses less digits than its factorization.

21356384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1499 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 21356384 is about 4621.2967876993. The cubic root of 21356384 is about 277.4443640323. Note that the first 3 decimals are identical.

The spelling of 21356384 in words is "twenty-one million, three hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1423 1876 2144 2846 3752 5692 7504 9961 11384 15008 19922 22768 39844 45536 79688 95341 159376 190682 318752 381364 667387 762728 1334774 1525456 2669548 3050912 5339096 10678192 21356384