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21346512 = 2431140429
BaseRepresentation
bin101000101101…
…1100011010000
31111011111220120
41101123203100
520431042022
62041310240
7346304505
oct121334320
944144816
1021346512
111105aa50
127195380
134565295
142b994ac
151d19d5c
hex145b8d0

21346512 has 40 divisors (see below), whose sum is σ = 60159840. Its totient is φ = 6468480.

The previous prime is 21346489. The next prime is 21346513. The reversal of 21346512 is 21564312.

It is a super-2 number, since 2×213465122 = 911347149132288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346513) by changing a digit.

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, 19687 + ... + 20742.

It is an arithmetic number, because the mean of its divisors is an integer number (1503996).

Almost surely, 221346512 is an apocalyptic number.

21346512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21346512 is an abundant number, since it is smaller than the sum of its proper divisors (38813328).

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

21346512 is a wasteful number, since it uses less digits than its factorization.

21346512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40451 (or 40445 counting only the distinct ones).

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

The square root of 21346512 is about 4620.2285657746. The cubic root of 21346512 is about 277.4016078414.

It can be divided in two parts, 2134 and 6512, that added together give a triangular number (8646 = T131).

The spelling of 21346512 in words is "twenty-one million, three hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 40429 80858 121287 161716 242574 323432 444719 485148 646864 889438 970296 1334157 1778876 1940592 2668314 3557752 5336628 7115504 10673256 21346512