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17942940 = 22325831201
BaseRepresentation
bin100010001110…
…0100110011100
31020202121002100
41010130212130
514043133230
61440325100
7305340531
oct104344634
936677070
1017942940
11a145884
126013790
133943032
142550d88
151896660
hex111c99c

17942940 has 72 divisors (see below), whose sum is σ = 55128528. Its totient is φ = 4723200.

The previous prime is 17942929. The next prime is 17942959. The reversal of 17942940 is 4924971.

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

It is a junction number, because it is equal to n+sod(n) for n = 17942895 and 17942904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14340 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (765674).

Almost surely, 217942940 is an apocalyptic number.

17942940 is a gapful number since it is divisible by the number (10) 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 17942940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27564264).

17942940 is an abundant number, since it is smaller than the sum of its proper divisors (37185588).

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

17942940 is a wasteful number, since it uses less digits than its factorization.

17942940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 17942940 is about 4235.9107639326. The cubic root of 17942940 is about 261.7969212797.

The spelling of 17942940 in words is "seventeen million, nine hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1201 1245 1494 1660 2402 2490 2988 3603 3735 4804 4980 6005 7206 7470 10809 12010 14412 14940 18015 21618 24020 36030 43236 54045 72060 99683 108090 199366 216180 299049 398732 498415 598098 897147 996830 1196196 1495245 1794294 1993660 2990490 3588588 4485735 5980980 8971470 17942940