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21335384 = 2372371471
BaseRepresentation
bin101000101100…
…0110101011000
31111010221122102
41101120311120
520430213014
62041142532
7346230200
oct121306530
944127572
1021335384
1111052654
12718aa48
1345601b5
142b95400
151d168de
hex1458d58

21335384 has 48 divisors (see below), whose sum is σ = 47825280. Its totient is φ = 8890560.

The previous prime is 21335359. The next prime is 21335389. The reversal of 21335384 is 48353312.

It is a super-2 number, since 2×213353842 = 910397220854912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21335389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13769 + ... + 15239.

It is an arithmetic number, because the mean of its divisors is an integer number (996360).

Almost surely, 221335384 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 21335384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912640).

21335384 is an abundant number, since it is smaller than the sum of its proper divisors (26489896).

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

21335384 is a wasteful number, since it uses less digits than its factorization.

21335384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1517 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 21335384 is about 4619.0241393610. The cubic root of 21335384 is about 277.3533960359.

Adding to 21335384 its reverse (48353312), we get a palindrome (69688696).

The spelling of 21335384 in words is "twenty-one million, three hundred thirty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1471 1813 2072 2942 3626 5884 7252 10297 11768 14504 20594 41188 54427 72079 82376 108854 144158 217708 288316 380989 435416 576632 761978 1523956 2666923 3047912 5333846 10667692 21335384