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21366312 = 2331180933
BaseRepresentation
bin101000110000…
…0011000101000
31111012112001220
41101200120220
520432210222
62041542040
7346416312
oct121403050
944175056
1021366312
1111073910
1271a4920
1345712b6
142ba27b2
151d20b5c
hex1460628

21366312 has 32 divisors (see below), whose sum is σ = 58272480. Its totient is φ = 6474560.

The previous prime is 21366311. The next prime is 21366329.

It is a happy number.

21366312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (21366311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40203 + ... + 40730.

It is an arithmetic number, because the mean of its divisors is an integer number (1821015).

Almost surely, 221366312 is an apocalyptic number.

21366312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21366312 is an abundant number, since it is smaller than the sum of its proper divisors (36906168).

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

21366312 is a wasteful number, since it uses less digits than its factorization.

21366312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80953 (or 80949 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 21366312 is about 4622.3708202610. The cubic root of 21366312 is about 277.4873494761.

It can be divided in two parts, 2136 and 6312, that added together give a palindrome (8448).

The spelling of 21366312 in words is "twenty-one million, three hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 80933 161866 242799 323732 485598 647464 890263 971196 1780526 1942392 2670789 3561052 5341578 7122104 10683156 21366312