Search a number
-
+
2014612640 = 25528144809
BaseRepresentation
bin111100000010100…
…1000110010100000
312012101211220222222
41320011020302200
513111220101030
6531524050212
7100631632145
oct17005106240
95171756888
102014612640
11944218327
12482833968
132614c25b1
141517c03cc
15bbcec3e5
hex78148ca0

2014612640 has 48 divisors (see below), whose sum is σ = 4776566760. Its totient is φ = 802959360.

The previous prime is 2014612583. The next prime is 2014612669. The reversal of 2014612640 is 462164102.

It can be written as a sum of positive squares in 4 ways, for example, as 1872812176 + 141800464 = 43276^2 + 11908^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22556 + ... + 67364.

Almost surely, 22014612640 is an apocalyptic number.

2014612640 is a gapful number since it is divisible by the number (20) 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 2014612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388283380).

2014612640 is an abundant number, since it is smaller than the sum of its proper divisors (2761954120).

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

2014612640 is a wasteful number, since it uses less digits than its factorization.

2014612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45105 (or 45097 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2014612640 is about 44884.4365008630. The cubic root of 2014612640 is about 1262.9820691479.

Adding to 2014612640 its reverse (462164102), we get a palindrome (2476776742).

The spelling of 2014612640 in words is "two billion, fourteen million, six hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 1124 1405 2248 2810 4496 5620 8992 11240 22480 44809 44960 89618 179236 224045 358472 448090 716944 896180 1433888 1792360 3584720 7169440 12591329 25182658 50365316 62956645 100730632 125913290 201461264 251826580 402922528 503653160 1007306320 2014612640