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21345852 = 22311261241
BaseRepresentation
bin101000101101…
…1011000111100
31111011111000010
41101123120330
520431031402
62041303220
7346302543
oct121333074
944144003
1021345852
111105a500
127194b10
134564ba8
142b9915a
151d19a6c
hex145b63c

21345852 has 72 divisors (see below), whose sum is σ = 55874896. Its totient is φ = 6336000.

The previous prime is 21345851. The next prime is 21345853. The reversal of 21345852 is 25854312.

It is an interprime number because it is at equal distance from previous prime (21345851) and next prime (21345853).

It is a super-3 number, since 3×213458523 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21345851) 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, 88452 + ... + 88692.

Almost surely, 221345852 is an apocalyptic number.

21345852 is a gapful number since it is divisible by the number (22) 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 21345852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937448).

21345852 is an abundant number, since it is smaller than the sum of its proper divisors (34529044).

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

21345852 is a wasteful number, since it uses less digits than its factorization.

21345852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 21345852 is about 4620.1571401847. The cubic root of 21345852 is about 277.3987488739.

The spelling of 21345852 in words is "twenty-one million, three hundred forty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 241 242 244 363 366 482 484 671 723 726 732 964 1342 1446 1452 2013 2651 2684 2892 4026 5302 7381 7953 8052 10604 14701 14762 15906 22143 29161 29402 29524 31812 44103 44286 58322 58804 87483 88206 88572 116644 161711 174966 176412 323422 349932 485133 646844 970266 1778821 1940532 3557642 5336463 7115284 10672926 21345852