Search a number
-
+
9992780 = 2257137521
BaseRepresentation
bin100110000111…
…101001001100
3200210200111222
4212013221030
510024232110
6554102512
7150636320
oct46075114
920720458
109992780
1157057a6
12341aa38
1320bb4b5
141481980
15d25c55
hex987a4c

9992780 has 48 divisors (see below), whose sum is σ = 24204096. Its totient is φ = 3394560.

The previous prime is 9992777. The next prime is 9992783. The reversal of 9992780 is 872999.

It is an interprime number because it is at equal distance from previous prime (9992777) and next prime (9992783).

It is not an unprimeable number, because it can be changed into a prime (9992783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18920 + ... + 19440.

It is an arithmetic number, because the mean of its divisors is an integer number (504252).

Almost surely, 29992780 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 9992780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102048).

9992780 is an abundant number, since it is smaller than the sum of its proper divisors (14211316).

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

9992780 is a wasteful number, since it uses less digits than its factorization.

9992780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 9992780 is about 3161.1358718030. The cubic root of 9992780 is about 215.3916064581.

The spelling of 9992780 in words is "nine million, nine hundred ninety-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 521 548 685 959 1042 1370 1918 2084 2605 2740 3647 3836 4795 5210 7294 9590 10420 14588 18235 19180 36470 71377 72940 142754 285508 356885 499639 713770 999278 1427540 1998556 2498195 4996390 9992780