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10320984 = 2332294943
BaseRepresentation
bin100111010111…
…110001011000
3201102100201200
4213113301120
510120232414
61005114200
7153504222
oct47276130
921370650
1010320984
11590a343
123558960
1321a49bb
141529412
15d8d109
hex9d7c58

10320984 has 48 divisors (see below), whose sum is σ = 28922400. Its totient is φ = 3321024.

The previous prime is 10320983. The next prime is 10321021. The reversal of 10320984 is 48902301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320983) 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 11 ways as a sum of consecutive naturals, for example, 384 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (602550).

Almost surely, 210320984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461200).

10320984 is an abundant number, since it is smaller than the sum of its proper divisors (18601416).

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

10320984 is a wasteful number, since it uses less digits than its factorization.

10320984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10320984 is about 3212.6288301016. The cubic root of 10320984 is about 217.7243661725.

The spelling of 10320984 in words is "ten million, three hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4943 9886 14829 19772 29658 39544 44487 59316 88974 118632 143347 177948 286694 355896 430041 573388 860082 1146776 1290123 1720164 2580246 3440328 5160492 10320984