Search a number
-
+
42045660 = 223251092143
BaseRepresentation
bin1010000001100…
…1000011011100
32221010010210200
42200121003130
541230430120
64101103500
71020245046
oct240310334
987103720
1042045660
1121808588
12120b7b90
1389319b7
145826a96
153a57e90
hex28190dc

42045660 has 72 divisors (see below), whose sum is σ = 128768640. Its totient is φ = 11104128.

The previous prime is 42045659. The next prime is 42045667. The reversal of 42045660 is 6654024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18549 + ... + 20691.

Almost surely, 242045660 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 42045660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64384320).

42045660 is an abundant number, since it is smaller than the sum of its proper divisors (86722980).

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

42045660 is a wasteful number, since it uses less digits than its factorization.

42045660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42045660 is about 6484.2624869757. The cubic root of 42045660 is about 347.7285834536.

Adding to 42045660 its reverse (6654024), we get a palindrome (48699684).

The spelling of 42045660 in words is "forty-two million, forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2143 2180 3270 3924 4286 4905 6429 6540 8572 9810 10715 12858 19287 19620 21430 25716 32145 38574 42860 64290 77148 96435 128580 192870 233587 385740 467174 700761 934348 1167935 1401522 2102283 2335870 2803044 3503805 4204566 4671740 7007610 8409132 10511415 14015220 21022830 42045660