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9988320 = 253520809
BaseRepresentation
bin100110000110…
…100011100000
3200210110101210
4212012203200
510024111240
6554030120
7150620316
oct46064340
920713353
109988320
115702411
123418340
1320b9464
1414800b6
15d24780
hex9868e0

9988320 has 48 divisors (see below), whose sum is σ = 31464720. Its totient is φ = 2663424.

The previous prime is 9988313. The next prime is 9988331. The reversal of 9988320 is 238899.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9925 + ... + 10884.

It is an arithmetic number, because the mean of its divisors is an integer number (655515).

Almost surely, 29988320 is an apocalyptic number.

It is an amenable number.

9988320 is an abundant number, since it is smaller than the sum of its proper divisors (21476400).

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

9988320 is a wasteful number, since it uses less digits than its factorization.

9988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20827 (or 20819 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9988320 is about 3160.4303504428. The cubic root of 9988320 is about 215.3595570010.

The spelling of 9988320 in words is "nine million, nine hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20809 41618 62427 83236 104045 124854 166472 208090 249708 312135 332944 416180 499416 624270 665888 832360 998832 1248540 1664720 1997664 2497080 3329440 4994160 9988320