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9982240 = 25589701
BaseRepresentation
bin100110000101…
…000100100000
3200210011001121
4212011010200
510023412430
6553542024
7150563512
oct46050440
920704047
109982240
1156a8894
123414914
1320b6768
14147bbb2
15d22a7a
hex985120

9982240 has 48 divisors (see below), whose sum is σ = 23882040. Its totient is φ = 3942400.

The previous prime is 9982237. The next prime is 9982241. The reversal of 9982240 is 422899.

It can be written as a sum of positive squares in 4 ways, for example, as 8271376 + 1710864 = 2876^2 + 1308^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9982196 and 9982205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13890 + ... + 14590.

Almost surely, 29982240 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 9982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941020).

9982240 is an abundant number, since it is smaller than the sum of its proper divisors (13899800).

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

9982240 is a wasteful number, since it uses less digits than its factorization.

9982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 9982240 is about 3159.4683097002. The cubic root of 9982240 is about 215.3158508898.

The spelling of 9982240 in words is "nine million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 701 712 890 1402 1424 1780 2804 2848 3505 3560 5608 7010 7120 11216 14020 14240 22432 28040 56080 62389 112160 124778 249556 311945 499112 623890 998224 1247780 1996448 2495560 4991120 9982240