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9980168 = 23111947127
BaseRepresentation
bin100110000100…
…100100001000
3200210001012212
4212010210020
510023331133
6553524252
7150554462
oct46044410
920701185
109980168
1156a7280
123413688
1320b5833
14147b132
15d22148
hex984908

9980168 has 64 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 4173120.

The previous prime is 9980167. The next prime is 9980177. The reversal of 9980168 is 8610899.

It is not an unprimeable number, because it can be changed into a prime (9980167) 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 15 ways as a sum of consecutive naturals, for example, 78521 + ... + 78647.

It is an arithmetic number, because the mean of its divisors is an integer number (345600).

Almost surely, 29980168 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 9980168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059200).

9980168 is an abundant number, since it is smaller than the sum of its proper divisors (12138232).

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

9980168 is a wasteful number, since it uses less digits than its factorization.

9980168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 9980168 is about 3159.1403894098. The cubic root of 9980168 is about 215.3009522526.

The spelling of 9980168 in words is "nine million, nine hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 47 76 88 94 127 152 188 209 254 376 418 508 517 836 893 1016 1034 1397 1672 1786 2068 2413 2794 3572 4136 4826 5588 5969 7144 9652 9823 11176 11938 19304 19646 23876 26543 39292 47752 53086 65659 78584 106172 113411 131318 212344 226822 262636 453644 525272 907288 1247521 2495042 4990084 9980168