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21913380 = 22325532297
BaseRepresentation
bin101001110010…
…1111100100100
31112020022111200
41103211330210
521102212010
62101402500
7354155256
oct123457444
945208450
1021913380
1111407935
127409430
1347032c8
142ca5cd6
151dcccc0
hex14e5f24

21913380 has 72 divisors (see below), whose sum is σ = 67754232. Its totient is φ = 5730816.

The previous prime is 21913379. The next prime is 21913387. The reversal of 21913380 is 8331912.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 18249984 = 1914^2 + 4272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21913387) 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, 8392 + ... + 10688.

It is an arithmetic number, because the mean of its divisors is an integer number (941031).

Almost surely, 221913380 is an apocalyptic number.

21913380 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 21913380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33877116).

21913380 is an abundant number, since it is smaller than the sum of its proper divisors (45840852).

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

21913380 is a wasteful number, since it uses less digits than its factorization.

21913380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21913380 is about 4681.1729299397. The cubic root of 21913380 is about 279.8357029331.

The spelling of 21913380 in words is "twenty-one million, nine hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2297 2385 3180 4594 4770 6891 9188 9540 11485 13782 20673 22970 27564 34455 41346 45940 68910 82692 103365 121741 137820 206730 243482 365223 413460 486964 608705 730446 1095669 1217410 1460892 1826115 2191338 2434820 3652230 4382676 5478345 7304460 10956690 21913380