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9982830 = 23511132179
BaseRepresentation
bin100110000101…
…001101101110
3200210011212110
4212011031232
510023422310
6553544450
7150565314
oct46051556
920704773
109982830
1156a9280
123415126
1320b6b00
14147c0b4
15d22d20
hex98536e

9982830 has 96 divisors (see below), whose sum is σ = 28460160. Its totient is φ = 2221440.

The previous prime is 9982829. The next prime is 9982831. The reversal of 9982830 is 382899.

9982830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9982829) and next prime (9982831).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55681 + ... + 55859.

It is an arithmetic number, because the mean of its divisors is an integer number (296460).

Almost surely, 29982830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230080).

9982830 is an abundant number, since it is smaller than the sum of its proper divisors (18477330).

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

9982830 is a wasteful number, since it uses less digits than its factorization.

9982830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9982830 is about 3159.5616784611. The cubic root of 9982830 is about 215.3200928852.

9982830 divided by its sum of digits (39) gives a triangular number (255970 = T715).

It can be divided in two parts, 998 and 2830, that added together give a triangular number (3828 = T87).

The spelling of 9982830 in words is "nine million, nine hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 179 195 286 330 338 358 390 429 507 537 715 845 858 895 1014 1074 1430 1690 1790 1859 1969 2145 2327 2535 2685 3718 3938 4290 4654 5070 5370 5577 5907 6981 9295 9845 11154 11635 11814 13962 18590 19690 23270 25597 27885 29535 30251 34905 51194 55770 59070 60502 69810 76791 90753 127985 151255 153582 181506 255970 302510 332761 383955 453765 665522 767910 907530 998283 1663805 1996566 3327610 4991415 9982830