Search a number
-
+
9940728 = 2337279107
BaseRepresentation
bin100101111010…
…111011111000
3200201001010010
4211322323320
510021100403
6553021520
7150331500
oct45727370
920631103
109940728
11567a686
1233b48a0
1320a08b5
14146aa00
15d15603
hex97aef8

9940728 has 96 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 2778048.

The previous prime is 9940717. The next prime is 9940729. The reversal of 9940728 is 8270499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9940729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92851 + ... + 92957.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 29940728 is an apocalyptic number.

9940728 is a gapful number since it is divisible by the number (98) 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 9940728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

9940728 is an abundant number, since it is smaller than the sum of its proper divisors (19608072).

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

9940728 is a wasteful number, since it uses less digits than its factorization.

9940728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 9940728 is about 3152.8920057623. The cubic root of 9940728 is about 215.0169663914.

The spelling of 9940728 in words is "nine million, nine hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 107 147 158 168 196 214 237 294 316 321 392 428 474 553 588 632 642 749 856 948 1106 1176 1284 1498 1659 1896 2212 2247 2568 2996 3318 3871 4424 4494 5243 5992 6636 7742 8453 8988 10486 11613 13272 15484 15729 16906 17976 20972 23226 25359 30968 31458 33812 41944 46452 50718 59171 62916 67624 92904 101436 118342 125832 177513 202872 236684 355026 414197 473368 710052 828394 1242591 1420104 1656788 2485182 3313576 4970364 9940728