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42215340 = 22351921949
BaseRepresentation
bin1010000100001…
…0011110101100
32221102202120010
42201002132230
541301342330
64104453220
71021552536
oct241023654
987382503
1042215340
1121914012
121217a210
138990cbb
14586c856
153a8d3b0
hex28427ac

42215340 has 72 divisors (see below), whose sum is σ = 124815600. Its totient is φ = 10659456.

The previous prime is 42215339. The next prime is 42215351. The reversal of 42215340 is 4351224.

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, 20686 + ... + 22634.

It is an arithmetic number, because the mean of its divisors is an integer number (1733550).

Almost surely, 242215340 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 42215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

42215340 is an abundant number, since it is smaller than the sum of its proper divisors (82600260).

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

42215340 is a wasteful number, since it uses less digits than its factorization.

42215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42215340 is about 6497.3332991313. Note that the first 3 decimals coincide. The cubic root of 42215340 is about 348.1957215838.

Adding to 42215340 its reverse (4351224), we get a palindrome (46566564).

The spelling of 42215340 in words is "forty-two million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 1949 2166 3610 3898 4332 5415 5847 7220 7796 9745 10830 11694 19490 21660 23388 29235 37031 38980 58470 74062 111093 116940 148124 185155 222186 370310 444372 555465 703589 740620 1110930 1407178 2110767 2221860 2814356 3517945 4221534 7035890 8443068 10553835 14071780 21107670 42215340