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42820260 = 22357432371
BaseRepresentation
bin1010001101011…
…0001010100100
32222120111100120
42203112022210
541430222020
64125441540
71026652260
oct243261244
988514316
1042820260
112219754a
12124102b0
138b43442
1459890a0
153b5c740
hex28d62a4

42820260 has 96 divisors (see below), whose sum is σ = 140270592. Its totient is φ = 9555840.

The previous prime is 42820259. The next prime is 42820279. The reversal of 42820260 is 6202824.

It is a self number, because there is not a number n which added to its sum of digits gives 42820260.

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 31 ways as a sum of consecutive naturals, for example, 16875 + ... + 19245.

It is an arithmetic number, because the mean of its divisors is an integer number (1461152).

Almost surely, 242820260 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 42820260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70135296).

42820260 is an abundant number, since it is smaller than the sum of its proper divisors (97450332).

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

42820260 is a wasteful number, since it uses less digits than its factorization.

42820260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42820260 is about 6543.7191260017. The cubic root of 42820260 is about 349.8509841832.

The spelling of 42820260 in words is "forty-two million, eight hundred twenty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2371 2580 3010 3612 4515 4742 6020 7113 9030 9484 11855 14226 16597 18060 23710 28452 33194 35565 47420 49791 66388 71130 82985 99582 101953 142260 165970 199164 203906 248955 305859 331940 407812 497910 509765 611718 713671 995820 1019530 1223436 1427342 1529295 2039060 2141013 2854684 3058590 3568355 4282026 6117180 7136710 8564052 10705065 14273420 21410130 42820260