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2140302240 = 253251486321
BaseRepresentation
bin111111110010010…
…0110101110100000
312112011100121201100
41333210212232200
513340404132430
6552214034400
7104016161136
oct17744465640
95464317640
102140302240
119a916582a
124b8948a00
1328155c13b
1416437b756
15c7d78960
hex7f926ba0

2140302240 has 72 divisors (see below), whose sum is σ = 7303786308. Its totient is φ = 570746880.

The previous prime is 2140302239. The next prime is 2140302277. The reversal of 2140302240 is 422030412.

2140302240 is a `hidden beast` number, since 21 + 403 + 0 + 2 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2102405904 + 37896336 = 45852^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741721 + ... + 744600.

Almost surely, 22140302240 is an apocalyptic number.

2140302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140302240 is an abundant number, since it is smaller than the sum of its proper divisors (5163484068).

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

2140302240 is a wasteful number, since it uses less digits than its factorization.

2140302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486342 (or 1486331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2140302240 is about 46263.4006532161. The cubic root of 2140302240 is about 1288.7194070100.

Adding to 2140302240 its reverse (422030412), we get a palindrome (2562332652).

The spelling of 2140302240 in words is "two billion, one hundred forty million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1486321 2972642 4458963 5945284 7431605 8917926 11890568 13376889 14863210 17835852 22294815 23781136 26753778 29726420 35671704 44589630 47562272 53507556 59452840 66884445 71343408 89179260 107015112 118905680 133768890 142686816 178358520 214030224 237811360 267537780 356717040 428060448 535075560 713434080 1070151120 2140302240