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9989520 = 2435107389
BaseRepresentation
bin100110000110…
…110110010000
3200210112001020
4212012312100
510024131040
6554035440
7150623652
oct46066620
920715036
109989520
115703302
123418b80
1320b9b78
1414806d2
15d24cd0
hex986d90

9989520 has 80 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 2632192.

The previous prime is 9989509. The next prime is 9989569. The reversal of 9989520 is 259899.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25486 + ... + 25874.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 29989520 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 9989520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

9989520 is an abundant number, since it is smaller than the sum of its proper divisors (21347760).

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

9989520 is a wasteful number, since it uses less digits than its factorization.

9989520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 9989520 is about 3160.6201923040. The cubic root of 9989520 is about 215.3681811113.

The spelling of 9989520 in words is "nine million, nine hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 389 428 535 642 778 856 1070 1167 1284 1556 1605 1712 1945 2140 2334 2568 3112 3210 3890 4280 4668 5136 5835 6224 6420 7780 8560 9336 11670 12840 15560 18672 23340 25680 31120 41623 46680 83246 93360 124869 166492 208115 249738 332984 416230 499476 624345 665968 832460 998952 1248690 1664920 1997904 2497380 3329840 4994760 9989520