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21312360 = 23325531117
BaseRepresentation
bin101000101001…
…1001101101000
31111002210001200
41101103031220
520423443420
62040444200
7346103106
oct121231550
944083050
1021312360
1111037323
127179660
134552884
142b8ac76
151d0eb90
hex1453368

21312360 has 96 divisors (see below), whose sum is σ = 70635240. Its totient is φ = 5571072.

The previous prime is 21312341. The next prime is 21312427. The reversal of 21312360 is 6321312.

It can be written as a sum of positive squares in 4 ways, for example, as 13793796 + 7518564 = 3714^2 + 2742^2 .

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

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, 18522 + ... + 19638.

Almost surely, 221312360 is an apocalyptic number.

21312360 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 21312360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35317620).

21312360 is an abundant number, since it is smaller than the sum of its proper divisors (49322880).

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

21312360 is a wasteful number, since it uses less digits than its factorization.

21312360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 21312360 is about 4616.5311652798. The cubic root of 21312360 is about 277.2535918321.

Adding to 21312360 its reverse (6321312), we get a palindrome (27633672).

The spelling of 21312360 in words is "twenty-one million, three hundred twelve thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1117 1272 1590 1908 2120 2234 2385 3180 3351 3816 4468 4770 5585 6360 6702 8936 9540 10053 11170 13404 16755 19080 20106 22340 26808 33510 40212 44680 50265 59201 67020 80424 100530 118402 134040 177603 201060 236804 296005 355206 402120 473608 532809 592010 710412 888015 1065618 1184020 1420824 1776030 2131236 2368040 2664045 3552060 4262472 5328090 7104120 10656180 21312360