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42740190 = 2335592683
BaseRepresentation
bin1010001100001…
…0100111011110
32222102102112000
42203002213132
541420141230
64124023130
71026166653
oct243024736
988372460
1042740190
1122142379
1212391aa6
138b15b6c
145967c2a
153b43b60
hex28c29de

42740190 has 64 divisors (see below), whose sum is σ = 115948800. Its totient is φ = 11200032.

The previous prime is 42740189. The next prime is 42740219. The reversal of 42740190 is 9104724.

It is a happy number.

42740190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427401902 = 3653447682472200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14589 + ... + 17271.

It is an arithmetic number, because the mean of its divisors is an integer number (1811700).

Almost surely, 242740190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42740190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57974400).

42740190 is an abundant number, since it is smaller than the sum of its proper divisors (73208610).

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

42740190 is a wasteful number, since it uses less digits than its factorization.

42740190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42740190 is about 6537.5981828191. The cubic root of 42740190 is about 349.6327849259.

The spelling of 42740190 in words is "forty-two million, seven hundred forty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 2683 3186 5310 5366 7965 8049 13415 15930 16098 24147 26830 40245 48294 72441 80490 120735 144882 158297 241470 316594 362205 474891 724410 791485 949782 1424673 1582970 2374455 2849346 4274019 4748910 7123365 8548038 14246730 21370095 42740190