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2014434520 = 235750314303
BaseRepresentation
bin111100000010001…
…1101010011011000
312012101111212122221
41320010131103120
513111143401040
6531520153424
7100630260640
oct17004352330
95171455587
102014434520
1194410651a
12482768874
1326145c4b7
14151775520
15bbcb474a
hex7811d4d8

2014434520 has 64 divisors (see below), whose sum is σ = 5190635520. Its totient is φ = 689241984.

The previous prime is 2014434481. The next prime is 2014434563. The reversal of 2014434520 is 254344102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133689 + ... + 147991.

It is an arithmetic number, because the mean of its divisors is an integer number (81103680).

Almost surely, 22014434520 is an apocalyptic number.

2014434520 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 2014434520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595317760).

2014434520 is an abundant number, since it is smaller than the sum of its proper divisors (3176201000).

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

2014434520 is a wasteful number, since it uses less digits than its factorization.

2014434520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14824 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2014434520 is about 44882.4522502949. The cubic root of 2014434520 is about 1262.9448462774.

Adding to 2014434520 its reverse (254344102), we get a palindrome (2268778622).

The spelling of 2014434520 in words is "two billion, fourteen million, four hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 503 1006 2012 2515 3521 4024 5030 7042 10060 14084 14303 17605 20120 28168 28606 35210 57212 70420 71515 100121 114424 140840 143030 200242 286060 400484 500605 572120 800968 1001210 2002420 4004840 7194409 14388818 28777636 35972045 50360863 57555272 71944090 100721726 143888180 201443452 251804315 287776360 402886904 503608630 1007217260 2014434520