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9942840 = 2332571389
BaseRepresentation
bin100101111011…
…011100111000
3200201011000100
4211323130320
510021132330
6553035400
7150340605
oct45733470
920634010
109942840
115681226
1233b5b60
1320a184b
14146b6ac
15d16060
hex97b738

9942840 has 96 divisors (see below), whose sum is σ = 32853600. Its totient is φ = 2607360.

The previous prime is 9942797. The next prime is 9942883. The reversal of 9942840 is 482499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9942797) and next prime (9942883).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9942795 and 9942804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25366 + ... + 25754.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 29942840 is an apocalyptic number.

9942840 is a gapful number since it is divisible by the number (90) 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 9942840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426800).

9942840 is an abundant number, since it is smaller than the sum of its proper divisors (22910760).

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

9942840 is a wasteful number, since it uses less digits than its factorization.

9942840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9942840 is about 3153.2269185709. The cubic root of 9942840 is about 215.0321927637.

The spelling of 9942840 in words is "nine million, nine hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 389 426 568 639 710 778 852 1065 1167 1278 1420 1556 1704 1945 2130 2334 2556 2840 3112 3195 3501 3890 4260 4668 5112 5835 6390 7002 7780 8520 9336 11670 12780 14004 15560 17505 23340 25560 27619 28008 35010 46680 55238 70020 82857 110476 138095 140040 165714 220952 248571 276190 331428 414285 497142 552380 662856 828570 994284 1104760 1242855 1657140 1988568 2485710 3314280 4971420 9942840