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9689680 = 245711313
BaseRepresentation
bin100100111101…
…101001010000
3200020021202001
4210331221100
54440032210
6543403344
7145234540
oct44755120
920207661
109689680
115519000
1232b3554
132013550
141403320
15cb603a
hex93da50

9689680 has 160 divisors (see below), whose sum is σ = 30498048. Its totient is φ = 2787840.

The previous prime is 9689651. The next prime is 9689681. The reversal of 9689680 is 869869.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9689680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9689681) 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 31 ways as a sum of consecutive naturals, for example, 745354 + ... + 745366.

Almost surely, 29689680 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 9689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249024).

9689680 is an abundant number, since it is smaller than the sum of its proper divisors (20808368).

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

9689680 is a wasteful number, since it uses less digits than its factorization.

9689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 9689680 is about 3112.8250834250. The cubic root of 9689680 is about 213.1914638355.

It can be divided in two parts, 968 and 9680, that added together give a cube (10648 = 223).

The spelling of 9689680 in words is "nine million, six hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 121 130 140 143 154 176 182 208 220 242 260 280 286 308 364 385 440 455 484 520 560 572 605 616 715 728 770 847 880 910 968 1001 1040 1144 1210 1232 1331 1430 1456 1540 1573 1694 1820 1936 2002 2288 2420 2662 2860 3080 3146 3388 3640 4004 4235 4840 5005 5324 5720 6160 6292 6655 6776 7280 7865 8008 8470 9317 9680 10010 10648 11011 11440 12584 13310 13552 15730 16016 16940 17303 18634 20020 21296 22022 25168 26620 31460 33880 34606 37268 40040 44044 46585 53240 55055 62920 67760 69212 74536 80080 86515 88088 93170 106480 110110 121121 125840 138424 149072 173030 176176 186340 220220 242242 276848 346060 372680 440440 484484 605605 692120 745360 880880 968968 1211210 1384240 1937936 2422420 4844840 9689680