Search a number
-
+
2400505140 = 2235113637129
BaseRepresentation
bin1000111100010100…
…1100110100110100
320012021222021222210
42033011030310310
514404012131030
61034111053420
7113325646155
oct21705146464
96167867883
102400505140
111022028050
1256bb11270
132c3434857
1418ab5192c
15e0b25bb0
hex8f14cd34

2400505140 has 48 divisors (see below), whose sum is σ = 7332454080. Its totient is φ = 581940480.

The previous prime is 2400505103. The next prime is 2400505153. The reversal of 2400505140 is 415050042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817905 + ... + 1819224.

It is an arithmetic number, because the mean of its divisors is an integer number (152759460).

Almost surely, 22400505140 is an apocalyptic number.

2400505140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400505140 is an abundant number, since it is smaller than the sum of its proper divisors (4931948940).

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

2400505140 is a wasteful number, since it uses less digits than its factorization.

2400505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637152 (or 3637150 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2400505140 is about 48994.9501479489. The cubic root of 2400505140 is about 1338.9598261751.

Adding to 2400505140 its reverse (415050042), we get a palindrome (2815555182).

The spelling of 2400505140 in words is "two billion, four hundred million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3637129 7274258 10911387 14548516 18185645 21822774 36371290 40008419 43645548 54556935 72742580 80016838 109113870 120025257 160033676 200042095 218227740 240050514 400084190 480101028 600126285 800168380 1200252570 2400505140