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21374832 = 2431014409
BaseRepresentation
bin101000110001…
…0011101110000
31111012221202110
41101202131300
520432443312
62042045320
7346453203
oct121423560
944187673
1021374832
111107a256
1271a9840
13457513b
142ba593a
151d2343c
hex1462770

21374832 has 40 divisors (see below), whose sum is σ = 55777680. Its totient is φ = 7052800.

The previous prime is 21374819. The next prime is 21374849. The reversal of 21374832 is 23847312.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21374832.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2644 + ... + 7052.

It is an arithmetic number, because the mean of its divisors is an integer number (1394442).

Almost surely, 221374832 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 21374832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888840).

21374832 is an abundant number, since it is smaller than the sum of its proper divisors (34402848).

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

21374832 is a wasteful number, since it uses less digits than its factorization.

21374832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4515 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 21374832 is about 4623.2923333919. The cubic root of 21374832 is about 277.5242280607.

The spelling of 21374832 in words is "twenty-one million, three hundred seventy-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4409 4848 8818 13227 17636 26454 35272 52908 70544 105816 211632 445309 890618 1335927 1781236 2671854 3562472 5343708 7124944 10687416 21374832