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21830382 = 2327253467
BaseRepresentation
bin101001101000…
…1101011101110
31112002002122200
41103101223232
521042033012
62055522330
7353361300
oct123215356
945062580
1021830382
1111360542
1273893a6
1346a45b2
142c83970
151db33dc
hex14d1aee

21830382 has 72 divisors (see below), whose sum is σ = 56179656. Its totient is φ = 6106464.

The previous prime is 21830377. The next prime is 21830387. The reversal of 21830382 is 28303812.

It is an interprime number because it is at equal distance from previous prime (21830377) and next prime (21830387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21830387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46513 + ... + 46979.

It is an arithmetic number, because the mean of its divisors is an integer number (780273).

Almost surely, 221830382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21830382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28089828).

21830382 is an abundant number, since it is smaller than the sum of its proper divisors (34349274).

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

21830382 is a wasteful number, since it uses less digits than its factorization.

21830382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21830382 is about 4672.2994338976. The cubic root of 21830382 is about 279.4819588053.

The spelling of 21830382 in words is "twenty-one million, eight hundred thirty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 371 441 467 477 742 882 934 954 1113 1401 2226 2597 2802 3269 3339 4203 5194 6538 6678 7791 8406 9807 15582 19614 22883 23373 24751 29421 45766 46746 49502 58842 68649 74253 137298 148506 173257 205947 222759 346514 411894 445518 519771 1039542 1212799 1559313 2425598 3118626 3638397 7276794 10915191 21830382