Search a number
-
+
42206360 = 2357307491
BaseRepresentation
bin1010000100000…
…0010010011000
32221102022020112
42201000102120
541301100420
64104343452
71021514420
oct241002230
987368215
1042206360
1121908299
1212174b88
138989ba1
145869480
153a8a8c5
hex2840498

42206360 has 64 divisors (see below), whose sum is σ = 109105920. Its totient is φ = 14394240.

The previous prime is 42206347. The next prime is 42206363. The reversal of 42206360 is 6360224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42206363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85715 + ... + 86205.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 242206360 is an apocalyptic number.

42206360 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 42206360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552960).

42206360 is an abundant number, since it is smaller than the sum of its proper divisors (66899560).

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

42206360 is a wasteful number, since it uses less digits than its factorization.

42206360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 42206360 is about 6496.6422096341. The cubic root of 42206360 is about 348.1710305646.

Adding to 42206360 its reverse (6360224), we get a palindrome (48566584).

The spelling of 42206360 in words is "forty-two million, two hundred six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 491 614 982 1228 1535 1964 2149 2455 2456 3070 3437 3928 4298 4910 6140 6874 8596 9820 10745 12280 13748 17185 17192 19640 21490 27496 34370 42980 68740 85960 137480 150737 301474 602948 753685 1055159 1205896 1507370 2110318 3014740 4220636 5275795 6029480 8441272 10551590 21103180 42206360