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9685980 = 223551993
BaseRepresentation
bin100100111100…
…101111011100
3200020002200000
4210330233130
54434422410
6543334300
7145221003
oct44745734
920202600
109685980
115516247
1232b1390
132011965
141401c3a
15cb4dc0
hex93cbdc

9685980 has 72 divisors (see below), whose sum is σ = 30484272. Its totient is φ = 2581632.

The previous prime is 9685979. The next prime is 9685987. The reversal of 9685980 is 895869.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9685987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3864 + ... + 5856.

Almost surely, 29685980 is an apocalyptic number.

9685980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9685980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242136).

9685980 is an abundant number, since it is smaller than the sum of its proper divisors (20798292).

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

9685980 is a wasteful number, since it uses less digits than its factorization.

9685980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9685980 is about 3112.2307112423. The cubic root of 9685980 is about 213.1643246923.

The spelling of 9685980 in words is "nine million, six hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 1993 2430 3986 4860 5979 7972 9965 11958 17937 19930 23916 29895 35874 39860 53811 59790 71748 89685 107622 119580 161433 179370 215244 269055 322866 358740 484299 538110 645732 807165 968598 1076220 1614330 1937196 2421495 3228660 4842990 9685980