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9987900 = 22352132197
BaseRepresentation
bin100110000110…
…011100111100
3200210102211020
4212012130330
510024103100
6554024140
7150616146
oct46063474
920712736
109987900
11570206a
123418050
1320b9200
14147dc96
15d245a0
hex98673c

9987900 has 108 divisors (see below), whose sum is σ = 31451112. Its totient is φ = 2446080.

The previous prime is 9987893. The next prime is 9987931. The reversal of 9987900 is 97899.

It is a happy number.

9987900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50602 + ... + 50798.

It is an arithmetic number, because the mean of its divisors is an integer number (291214).

Almost surely, 29987900 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 9987900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725556).

9987900 is an abundant number, since it is smaller than the sum of its proper divisors (21463212).

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

9987900 is a wasteful number, since it uses less digits than its factorization.

9987900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 9987900 is about 3160.3639030972. The cubic root of 9987900 is about 215.3565383992.

The spelling of 9987900 in words is "nine million, nine hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 197 260 300 325 338 390 394 507 591 650 676 780 788 845 975 985 1014 1182 1300 1690 1950 1970 2028 2364 2535 2561 2955 3380 3900 3940 4225 4925 5070 5122 5910 7683 8450 9850 10140 10244 11820 12675 12805 14775 15366 16900 19700 25350 25610 29550 30732 33293 38415 50700 51220 59100 64025 66586 76830 99879 128050 133172 153660 166465 192075 199758 256100 332930 384150 399516 499395 665860 768300 832325 998790 1664650 1997580 2496975 3329300 4993950 9987900