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20430984 = 2337313923
BaseRepresentation
bin100110111110…
…0000010001000
31102110000001010
41031330002020
520212242414
62005523520
7335442360
oct115740210
942400033
1020430984
1110595112
126a135a0
134304652
1429db9a0
151bd8959
hex137c088

20430984 has 64 divisors (see below), whose sum is σ = 60272640. Its totient is φ = 5647680.

The previous prime is 20430983. The next prime is 20430989. The reversal of 20430984 is 48903402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20430983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247 + ... + 7169.

It is an arithmetic number, because the mean of its divisors is an integer number (941760).

Almost surely, 220430984 is an apocalyptic number.

20430984 is a gapful number since it is divisible by the number (24) 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 20430984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30136320).

20430984 is an abundant number, since it is smaller than the sum of its proper divisors (39841656).

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

20430984 is a wasteful number, since it uses less digits than its factorization.

20430984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20430984 is about 4520.0646013083. The cubic root of 20430984 is about 273.3777057978.

The spelling of 20430984 in words is "twenty million, four hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 3923 5208 7846 11769 15692 23538 27461 31384 47076 54922 82383 94152 109844 121613 164766 219688 243226 329532 364839 486452 659064 729678 851291 972904 1459356 1702582 2553873 2918712 3405164 5107746 6810328 10215492 20430984