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2014243040 = 25522356453
BaseRepresentation
bin111100000001110…
…1110100011100000
312012101011011000002
41320003232203200
513111121234130
6531512115132
7100625532455
oct17003564340
95171134002
102014243040
11943a95677
12482695aa8
132613c32b4
1415172582c
15bbc77b45
hex780ee8e0

2014243040 has 48 divisors (see below), whose sum is σ = 4780073088. Its totient is φ = 802070016.

The previous prime is 2014243027. The next prime is 2014243051. The reversal of 2014243040 is 403424102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7454 + ... + 63906.

It is an arithmetic number, because the mean of its divisors is an integer number (99584856).

Almost surely, 22014243040 is an apocalyptic number.

2014243040 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 2014243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390036544).

2014243040 is an abundant number, since it is smaller than the sum of its proper divisors (2765830048).

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

2014243040 is a wasteful number, since it uses less digits than its factorization.

2014243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56691 (or 56683 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2014243040 is about 44880.3190719496. The cubic root of 2014243040 is about 1262.9048290352.

Adding to 2014243040 its reverse (403424102), we get a palindrome (2417667142).

The spelling of 2014243040 in words is "two billion, fourteen million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 35680 56453 112906 225812 282265 451624 564530 903248 1129060 1806496 2258120 4516240 9032480 12589019 25178038 50356076 62945095 100712152 125890190 201424304 251780380 402848608 503560760 1007121520 2014243040