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2534830240 = 25557727457
BaseRepresentation
bin1001011100010110…
…0111000010100000
320112122201201101111
42113011213002200
520142404031430
61055310113104
7116546462425
oct22705470240
96478651344
102534830240
111090933528
125a8aab794
13315205b67
141a0919d4c
15ec80ac2a
hex971670a0

2534830240 has 48 divisors (see below), whose sum is σ = 5999133672. Its totient is φ = 1012137984.

The previous prime is 2534830213. The next prime is 2534830279. The reversal of 2534830240 is 420384352.

It can be written as a sum of positive squares in 4 ways, for example, as 2153331216 + 381499024 = 46404^2 + 19532^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78592 + ... + 106048.

Almost surely, 22534830240 is an apocalyptic number.

2534830240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2534830240 is an abundant number, since it is smaller than the sum of its proper divisors (3464303432).

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

2534830240 is a wasteful number, since it uses less digits than its factorization.

2534830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28049 (or 28041 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2534830240 is about 50347.0976323363. The cubic root of 2534830240 is about 1363.4826829422.

The spelling of 2534830240 in words is "two billion, five hundred thirty-four million, eight hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 577 1154 2308 2885 4616 5770 9232 11540 18464 23080 27457 46160 54914 92320 109828 137285 219656 274570 439312 549140 878624 1098280 2196560 4393120 15842689 31685378 63370756 79213445 126741512 158426890 253483024 316853780 506966048 633707560 1267415120 2534830240