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9992940 = 22351797101
BaseRepresentation
bin100110000111…
…101011101100
3200210200201220
4212013223230
510024233230
6554103340
7150636636
oct46075354
920720656
109992940
115705931
12341ab50
1320bb5a9
141481a56
15d25d10
hex987aec

9992940 has 96 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 2457600.

The previous prime is 9992933. The next prime is 9992963. The reversal of 9992940 is 492999.

It is a junction number, because it is equal to n+sod(n) for n = 9992892 and 9992901.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98890 + ... + 98990.

It is an arithmetic number, because the mean of its divisors is an integer number (314874).

Almost surely, 29992940 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 9992940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113952).

9992940 is an abundant number, since it is smaller than the sum of its proper divisors (20234964).

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

9992940 is a wasteful number, since it uses less digits than its factorization.

9992940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 9992940 is about 3161.1611790606. The cubic root of 9992940 is about 215.3927560372.

It can be divided in two parts, 99 and 92940, that added together give a palindrome (93039).

The spelling of 9992940 in words is "nine million, nine hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 97 101 102 170 194 202 204 255 291 303 340 388 404 485 505 510 582 606 970 1010 1020 1164 1212 1455 1515 1649 1717 1940 2020 2910 3030 3298 3434 4947 5151 5820 6060 6596 6868 8245 8585 9797 9894 10302 16490 17170 19594 19788 20604 24735 25755 29391 32980 34340 39188 48985 49470 51510 58782 97970 98940 103020 117564 146955 166549 195940 293910 333098 499647 587820 666196 832745 999294 1665490 1998588 2498235 3330980 4996470 9992940