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9985976 = 23711132943
BaseRepresentation
bin100110000101…
…111110111000
3200210100011222
4212011332320
510024022401
6554011212
7150610430
oct46057670
920710158
109985976
115700680
123416b08
1320b8380
14147d2c0
15d23c1b
hex985fb8

9985976 has 128 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3386880.

The previous prime is 9985973. The next prime is 9985993. The reversal of 9985976 is 6795899.

It is an Ulam number.

Its product of digits (1224720) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985973) 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 31 ways as a sum of consecutive naturals, for example, 232211 + ... + 232253.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 29985976 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 9985976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

9985976 is an abundant number, since it is smaller than the sum of its proper divisors (16625224).

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

9985976 is a wasteful number, since it uses less digits than its factorization.

9985976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 53.

The square root of 9985976 is about 3160.0594931108. The cubic root of 9985976 is about 215.3427092464.

The spelling of 9985976 in words is "nine million, nine hundred eighty-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 43 44 52 56 58 77 86 88 91 104 116 143 154 172 182 203 232 286 301 308 319 344 364 377 406 473 559 572 602 616 638 728 754 812 946 1001 1118 1144 1204 1247 1276 1508 1624 1892 2002 2233 2236 2408 2494 2552 2639 3016 3311 3784 3913 4004 4147 4466 4472 4988 5278 6149 6622 7826 8008 8294 8729 8932 9976 10556 12298 13244 13717 15652 16211 16588 17458 17864 21112 24596 26488 27434 29029 31304 32422 33176 34916 43043 49192 54868 58058 64844 69832 86086 96019 109736 113477 116116 129688 172172 178321 192038 226954 232232 344344 356642 384076 453908 713284 768152 907816 1248247 1426568 2496494 4992988 9985976