Search a number
-
+
2140695200 = 25527382267
BaseRepresentation
bin111111110011000…
…0110101010100000
312112012002120202102
41333212012222200
513341004221300
6552230305532
7104022415610
oct17746065240
95465076672
102140695200
119a9403a96
124b8ab82a8
13281668c67
14164440a40
15c7e050d5
hex7f986aa0

2140695200 has 72 divisors (see below), whose sum is σ = 5972555232. Its totient is φ = 733950720.

The previous prime is 2140695191. The next prime is 2140695203. The reversal of 2140695200 is 25960412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2140695203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185534 + ... + 196733.

It is an arithmetic number, because the mean of its divisors is an integer number (82952156).

Almost surely, 22140695200 is an apocalyptic number.

2140695200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140695200 is an abundant number, since it is smaller than the sum of its proper divisors (3831860032).

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

2140695200 is a wasteful number, since it uses less digits than its factorization.

2140695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382294 (or 382281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2140695200 is about 46267.6474439754. The cubic root of 2140695200 is about 1288.7982719134.

The spelling of 2140695200 in words is "two billion, one hundred forty million, six hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 382267 764534 1529068 1911335 2675869 3058136 3822670 5351738 6116272 7645340 9556675 10703476 12232544 13379345 15290680 19113350 21406952 26758690 30581360 38226700 42813904 53517380 61162720 66896725 76453400 85627808 107034760 133793450 152906800 214069520 267586900 305813600 428139040 535173800 1070347600 2140695200