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9861940 = 22511231949
BaseRepresentation
bin100101100111…
…101100110100
3200120001001001
4211213230310
510011040230
6551213044
7146553004
oct45475464
920501031
109861940
115626470
123377184
132073a8a
14144a004
15cec0ca
hex967b34

9861940 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 3428480.

The previous prime is 9861919. The next prime is 9861947. The reversal of 9861940 is 491689.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9861940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9861947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4086 + ... + 6034.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 29861940 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 9861940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

9861940 is an abundant number, since it is smaller than the sum of its proper divisors (13725260).

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

9861940 is a wasteful number, since it uses less digits than its factorization.

9861940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 9861940 is about 3140.3725893594. The cubic root of 9861940 is about 214.4474000883.

It can be divided in two parts, 9861 and 940, that added together give a palindrome (10801).

The spelling of 9861940 in words is "nine million, eight hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1949 2530 3898 5060 7796 9745 19490 21439 38980 42878 44827 85756 89654 107195 179308 214390 224135 428780 448270 493097 896540 986194 1972388 2465485 4930970 9861940