Search a number
-
+
9940040 = 23511192941
BaseRepresentation
bin100101111010…
…110001001000
3200201000011122
4211322301020
510021040130
6553014412
7150326465
oct45726110
920630148
109940040
11567a110
1233b4408
1320a04a6
14146a66c
15d152e5
hex97ac48

9940040 has 128 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 3225600.

The previous prime is 9940039. The next prime is 9940043. The reversal of 9940040 is 400499.

It is a junction number, because it is equal to n+sod(n) for n = 9939991 and 9940009.

It is not an unprimeable number, because it can be changed into a prime (9940043) 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 31 ways as a sum of consecutive naturals, for example, 242420 + ... + 242460.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 29940040 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 9940040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

9940040 is an abundant number, since it is smaller than the sum of its proper divisors (17275960).

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

9940040 is a wasteful number, since it uses less digits than its factorization.

9940040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 9940040 is about 3152.7828976953. The cubic root of 9940040 is about 215.0120058196.

It can be divided in two parts, 9 and 940040, that added together give a palindrome (940049).

The spelling of 9940040 in words is "nine million, nine hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 29 38 40 41 44 55 58 76 82 88 95 110 116 145 152 164 190 205 209 220 232 290 319 328 380 410 418 440 451 551 580 638 760 779 820 836 902 1045 1102 1160 1189 1276 1558 1595 1640 1672 1804 2090 2204 2255 2378 2552 2755 3116 3190 3608 3895 4180 4408 4510 4756 5510 5945 6061 6232 6380 7790 8360 8569 9020 9512 11020 11890 12122 12760 13079 15580 17138 18040 22040 22591 23780 24244 26158 30305 31160 34276 42845 45182 47560 48488 52316 60610 65395 68552 85690 90364 104632 112955 121220 130790 171380 180728 225910 242440 248501 261580 342760 451820 497002 523160 903640 994004 1242505 1988008 2485010 4970020 9940040