Search a number
-
+
42171160 = 2353171479
BaseRepresentation
bin1010000011011…
…1101100011000
32221100111221211
42200313230120
541243434120
64103512504
71021306663
oct240675430
987314854
1042171160
11218938a9
1212158734
138976b65
14585a6da
153a8025a
hex2837b18

42171160 has 64 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 16060800.

The previous prime is 42171131. The next prime is 42171163. The reversal of 42171160 is 6117124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42171163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87801 + ... + 88279.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 242171160 is an apocalyptic number.

42171160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42171160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

42171160 is an abundant number, since it is smaller than the sum of its proper divisors (57361640).

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

42171160 is a wasteful number, since it uses less digits than its factorization.

42171160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 42171160 is about 6493.9325527757. The cubic root of 42171160 is about 348.0742123844.

Adding to 42171160 its reverse (6117124), we get a palindrome (48288284).

The spelling of 42171160 in words is "forty-two million, one hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 479 568 620 710 958 1240 1420 1916 2201 2395 2840 3832 4402 4790 8804 9580 11005 14849 17608 19160 22010 29698 34009 44020 59396 68018 74245 88040 118792 136036 148490 170045 272072 296980 340090 593960 680180 1054279 1360360 2108558 4217116 5271395 8434232 10542790 21085580 42171160