Search a number
-
+
45231160 = 2351326691
BaseRepresentation
bin1010110010001…
…0110000111000
310011002222111011
42230202300320
543034344120
64253243304
71056313162
oct254426070
9104088434
1045231160
1123593927
1213193534
1394a8900
146015932
153e86c5a
hex2b22c38

45231160 has 48 divisors (see below), whose sum is σ = 110217240. Its totient is φ = 16698240.

The previous prime is 45231149. The next prime is 45231161. The reversal of 45231160 is 6113254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45231161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3415 + ... + 10105.

Almost surely, 245231160 is an apocalyptic number.

45231160 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 45231160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55108620).

45231160 is an abundant number, since it is smaller than the sum of its proper divisors (64986080).

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

45231160 is a wasteful number, since it uses less digits than its factorization.

45231160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45231160 is about 6725.4115115731. The cubic root of 45231160 is about 356.2973360718.

The spelling of 45231160 in words is "forty-five million, two hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6691 6760 13382 26764 33455 53528 66910 86983 133820 173966 267640 347932 434915 695864 869830 1130779 1739660 2261558 3479320 4523116 5653895 9046232 11307790 22615580 45231160