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21330360 = 23325193307
BaseRepresentation
bin101000101011…
…1100110111000
31111010200202100
41101113212320
520430032420
62041103400
7346206432
oct121274670
944120670
1021330360
11110498a7
127187b60
13455ab1c
142b93652
151d15190
hex14579b8

21330360 has 96 divisors (see below), whose sum is σ = 69909840. Its totient is φ = 5640192.

The previous prime is 21330347. The next prime is 21330367. The reversal of 21330360 is 6303312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330367) 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 23 ways as a sum of consecutive naturals, for example, 69327 + ... + 69633.

Almost surely, 221330360 is an apocalyptic number.

21330360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34954920).

21330360 is an abundant number, since it is smaller than the sum of its proper divisors (48579480).

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

21330360 is a wasteful number, since it uses less digits than its factorization.

21330360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 21330360 is about 4618.4802695259. The cubic root of 21330360 is about 277.3316241779.

Adding to 21330360 its reverse (6303312), we get a palindrome (27633672).

The spelling of 21330360 in words is "twenty-one million, three hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 307 360 386 579 614 772 921 965 1158 1228 1535 1544 1737 1842 1930 2316 2456 2763 2895 3070 3474 3684 3860 4605 4632 5526 5790 6140 6948 7368 7720 8685 9210 11052 11580 12280 13815 13896 17370 18420 22104 23160 27630 34740 36840 55260 59251 69480 110520 118502 177753 237004 296255 355506 474008 533259 592510 711012 888765 1066518 1185020 1422024 1777530 2133036 2370040 2666295 3555060 4266072 5332590 7110120 10665180 21330360