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21351264 = 2531120219
BaseRepresentation
bin101000101110…
…0101101100000
31111011202102120
41101130231200
520431220024
62041344240
7346324404
oct121345540
944152376
1021351264
1111063580
127198080
1345674ac
142b9b104
151d1b479
hex145cb60

21351264 has 48 divisors (see below), whose sum is σ = 61145280. Its totient is φ = 6469760.

The previous prime is 21351241. The next prime is 21351287. The reversal of 21351264 is 46215312.

It is an interprime number because it is at equal distance from previous prime (21351241) and next prime (21351287).

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 9054 + ... + 11165.

It is an arithmetic number, because the mean of its divisors is an integer number (1273860).

Almost surely, 221351264 is an apocalyptic number.

21351264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21351264 is an abundant number, since it is smaller than the sum of its proper divisors (39794016).

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

21351264 is a wasteful number, since it uses less digits than its factorization.

21351264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20243 (or 20235 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 21351264 is about 4620.7427974299. The cubic root of 21351264 is about 277.4221906675.

Adding to 21351264 its reverse (46215312), we get a palindrome (67566576).

The spelling of 21351264 in words is "twenty-one million, three hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20219 40438 60657 80876 121314 161752 222409 242628 323504 444818 485256 647008 667227 889636 970512 1334454 1779272 1941024 2668908 3558544 5337816 7117088 10675632 21351264