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9998820 = 22325134273
BaseRepresentation
bin100110001001…
…000111100100
3200210222210200
4212021013210
510024430240
6554150500
7150663036
oct46110744
920728720
109998820
11570a297
123422430
1320c1180
141483c56
15d27930
hex9891e4

9998820 has 72 divisors (see below), whose sum is σ = 32670456. Its totient is φ = 2460672.

The previous prime is 9998809. The next prime is 9998851. The reversal of 9998820 is 288999.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 9998244 = 24^2 + 3162^2 .

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204 + ... + 4476.

Almost surely, 29998820 is an apocalyptic number.

9998820 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 9998820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335228).

9998820 is an abundant number, since it is smaller than the sum of its proper divisors (22671636).

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

9998820 is a wasteful number, since it uses less digits than its factorization.

9998820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9998820 is about 3162.0910802822. The cubic root of 9998820 is about 215.4349945601.

The spelling of 9998820 in words is "nine million, nine hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4273 8546 12819 17092 21365 25638 38457 42730 51276 55549 64095 76914 85460 111098 128190 153828 166647 192285 222196 256380 277745 333294 384570 499941 555490 666588 769140 833235 999882 1110980 1666470 1999764 2499705 3332940 4999410 9998820