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21328776 = 23327101419
BaseRepresentation
bin101000101011…
…1001110001000
31111010121120200
41101113032020
520430010101
62041052200
7346202010
oct121271610
944117520
1021328776
1111048697
127187060
13455a1a1
142b92c40
151d14986
hex1457388

21328776 has 96 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 6019200.

The previous prime is 21328763. The next prime is 21328781. The reversal of 21328776 is 67782312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21328776.

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 23 ways as a sum of consecutive naturals, for example, 50695 + ... + 51113.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 221328776 is an apocalyptic number.

21328776 is the 3771-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21328776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

21328776 is an abundant number, since it is smaller than the sum of its proper divisors (45501624).

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

21328776 is a wasteful number, since it uses less digits than its factorization.

21328776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 21328776 is about 4618.3087813614. The cubic root of 21328776 is about 277.3247590935.

The spelling of 21328776 in words is "twenty-one million, three hundred twenty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 419 504 606 707 808 838 909 1212 1257 1414 1676 1818 2121 2424 2514 2828 2933 3352 3636 3771 4242 5028 5656 5866 6363 7272 7542 8484 8799 10056 11732 12726 15084 16968 17598 23464 25452 26397 30168 35196 42319 50904 52794 70392 84638 105588 126957 169276 211176 253914 296233 338552 380871 507828 592466 761742 888699 1015656 1184932 1523484 1777398 2369864 2666097 3046968 3554796 5332194 7109592 10664388 21328776