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9042840 = 233452791
BaseRepresentation
bin100010011111…
…101110011000
3122000102110000
4202133232120
54303332330
6521453000
7136601652
oct42375630
918012400
109042840
115117024
123041160
131b47cc1
1412b56d2
15bd9560
hex89fb98

9042840 has 80 divisors (see below), whose sum is σ = 30404880. Its totient is φ = 2410560.

The previous prime is 9042829. The next prime is 9042877. The reversal of 9042840 is 482409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1845 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (380061).

Almost surely, 29042840 is an apocalyptic number.

9042840 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 9042840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202440).

9042840 is an abundant number, since it is smaller than the sum of its proper divisors (21362040).

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

9042840 is a wasteful number, since it uses less digits than its factorization.

9042840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9042840 is about 3007.1315235619. The cubic root of 9042840 is about 208.3378999888.

The spelling of 9042840 in words is "nine million, forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2791 3240 5582 8373 11164 13955 16746 22328 25119 27910 33492 41865 50238 55820 66984 75357 83730 100476 111640 125595 150714 167460 200952 226071 251190 301428 334920 376785 452142 502380 602856 753570 904284 1004760 1130355 1507140 1808568 2260710 3014280 4521420 9042840