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9981800 = 2352291721
BaseRepresentation
bin100110000100…
…111101101000
3200210010110022
4212010331220
510023404200
6553540012
7150562313
oct46047550
920703408
109981800
1156a8524
123414608
1320b64ba
14147b97a
15d22885
hex984f68

9981800 has 48 divisors (see below), whose sum is σ = 24021900. Its totient is φ = 3852800.

The previous prime is 9981799. The next prime is 9981809. The reversal of 9981800 is 81899.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4937284 + 5044516 = 2222^2 + 2246^2 .

It is not an unprimeable number, because it can be changed into a prime (9981809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4940 + ... + 6660.

Almost surely, 29981800 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 9981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010950).

9981800 is an abundant number, since it is smaller than the sum of its proper divisors (14040100).

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

9981800 is a wasteful number, since it uses less digits than its factorization.

9981800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 9981800 is about 3159.3986769637. The cubic root of 9981800 is about 215.3126872590.

The spelling of 9981800 in words is "nine million, nine hundred eighty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 1721 2900 3442 5800 6884 8605 13768 17210 34420 43025 49909 68840 86050 99818 172100 199636 249545 344200 399272 499090 998180 1247725 1996360 2495450 4990900 9981800