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2014044320 = 25543614799
BaseRepresentation
bin111100000001011…
…1110000010100000
312012100210001102002
41320002332002200
513111043404240
6531503543132
7100624044221
oct17002760240
95170701362
102014044320
1194396a342
124825baaa8
13261353a02
141516b3248
15bbc38d15
hex780be0a0

2014044320 has 96 divisors (see below), whose sum is σ = 4949683200. Its totient is φ = 773821440.

The previous prime is 2014044317. The next prime is 2014044341. The reversal of 2014044320 is 234404102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2014044292 and 2014044301.

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, 417281 + ... + 422079.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 22014044320 is an apocalyptic number.

2014044320 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 2014044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

2014044320 is an abundant number, since it is smaller than the sum of its proper divisors (2935638880).

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

2014044320 is a wasteful number, since it uses less digits than its factorization.

2014044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4910 counting only the distinct ones).

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

The square root of 2014044320 is about 44878.1051293390. The cubic root of 2014044320 is about 1262.8632960298.

Adding to 2014044320 its reverse (234404102), we get a palindrome (2248448422).

The spelling of 2014044320 in words is "two billion, fourteen million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 61 80 86 122 160 172 215 244 305 344 430 488 610 688 860 976 1220 1376 1720 1952 2440 2623 3440 4799 4880 5246 6880 9598 9760 10492 13115 19196 20984 23995 26230 38392 41968 47990 52460 76784 83936 95980 104920 153568 191960 206357 209840 292739 383920 412714 419680 585478 767840 825428 1031785 1170956 1463695 1650856 2063570 2341912 2927390 3301712 4127140 4683824 5854780 6603424 8254280 9367648 11709560 12587777 16508560 23419120 25175554 33017120 46838240 50351108 62938885 100702216 125877770 201404432 251755540 402808864 503511080 1007022160 2014044320