Search a number
-
+
42865140 = 22351921979
BaseRepresentation
bin1010001110000…
…1000111110100
32222122202220210
42203201013310
541433141030
64130425420
71030230153
oct243410764
988582823
1042865140
112221823a
1212432270
138b5a9b6
14599b59a
153b6abb0
hex28e11f4

42865140 has 72 divisors (see below), whose sum is σ = 126735840. Its totient is φ = 10823616.

The previous prime is 42865139. The next prime is 42865153. The reversal of 42865140 is 4156824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42865098 and 42865107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20671 + ... + 22649.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 242865140 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 42865140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63367920).

42865140 is an abundant number, since it is smaller than the sum of its proper divisors (83870700).

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

42865140 is a wasteful number, since it uses less digits than its factorization.

42865140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42865140 is about 6547.1474704638. The cubic root of 42865140 is about 349.9731680111.

The spelling of 42865140 in words is "forty-two million, eight hundred sixty-five thousand, one 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 1979 2166 3610 3958 4332 5415 5937 7220 7916 9895 10830 11874 19790 21660 23748 29685 37601 39580 59370 75202 112803 118740 150404 188005 225606 376010 451212 564015 714419 752020 1128030 1428838 2143257 2256060 2857676 3572095 4286514 7144190 8573028 10716285 14288380 21432570 42865140