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21313080 = 2332573811
BaseRepresentation
bin101000101001…
…1011000111000
31111002211001100
41101103120320
520424004310
62040451400
7346105155
oct121233070
944084040
1021313080
1111037918
127179b60
134552cb9
142b8b22c
151d0eec0
hex1453638

21313080 has 96 divisors (see below), whose sum is σ = 70302960. Its totient is φ = 5598720.

The previous prime is 21313063. The next prime is 21313091. The reversal of 21313080 is 8031312.

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

It is a zygodrome in base 3.

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 23 ways as a sum of consecutive naturals, for example, 25875 + ... + 26685.

Almost surely, 221313080 is an apocalyptic number.

21313080 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 21313080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151480).

21313080 is an abundant number, since it is smaller than the sum of its proper divisors (48989880).

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

21313080 is a wasteful number, since it uses less digits than its factorization.

21313080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21313080 is about 4616.6091452494. The cubic root of 21313080 is about 277.2567139694.

Adding to 21313080 its reverse (8031312), we get a palindrome (29344392).

The spelling of 21313080 in words is "twenty-one million, three hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 811 876 1095 1314 1460 1622 1752 2190 2433 2628 2920 3244 3285 4055 4380 4866 5256 6488 6570 7299 8110 8760 9732 12165 13140 14598 16220 19464 24330 26280 29196 32440 36495 48660 58392 59203 72990 97320 118406 145980 177609 236812 291960 296015 355218 473624 532827 592030 710436 888045 1065654 1184060 1420872 1776090 2131308 2368120 2664135 3552180 4262616 5328270 7104360 10656540 21313080