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42260340 = 2235412419
BaseRepresentation
bin1010000100110…
…1011101110100
32221112001021210
42201031131310
541304312330
64105441420
71022130663
oct241153564
987461253
1042260340
1121944901
12121a0270
1389a8625
145880dda
153a9b8b0
hex284d774

42260340 has 72 divisors (see below), whose sum is σ = 121574880. Its totient is φ = 10968320.

The previous prime is 42260333. The next prime is 42260353. The reversal of 42260340 is 4306224.

42260340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 100651 + ... + 101069.

It is an arithmetic number, because the mean of its divisors is an integer number (1688540).

Almost surely, 242260340 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 42260340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60787440).

42260340 is an abundant number, since it is smaller than the sum of its proper divisors (79314540).

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

42260340 is a wasteful number, since it uses less digits than its factorization.

42260340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42260340 is about 6500.7953359570. The cubic root of 42260340 is about 348.3193989272.

Adding to 42260340 its reverse (4306224), we get a palindrome (46566564).

The spelling of 42260340 in words is "forty-two million, two hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 419 492 615 820 838 1230 1257 1676 1681 2095 2460 2514 3362 4190 5028 5043 6285 6724 8380 8405 10086 12570 16810 17179 20172 25140 25215 33620 34358 50430 51537 68716 85895 100860 103074 171790 206148 257685 343580 515370 704339 1030740 1408678 2113017 2817356 3521695 4226034 7043390 8452068 10565085 14086780 21130170 42260340