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2014289088 = 263712711801
BaseRepresentation
bin111100000001111…
…1001110011000000
312012101020111011120
41320003321303000
513111124222323
6531513112240
7100626113640
oct17003716300
95171214146
102014289088
11944017229
124826b8680
1326140b246
14151738520
15bbc865e3
hex780f9cc0

2014289088 has 112 divisors (see below), whose sum is σ = 6139305984. Its totient is φ = 570931200.

The previous prime is 2014289063. The next prime is 2014289093. The reversal of 2014289088 is 8809824102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

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, 164788 + ... + 176588.

It is an arithmetic number, because the mean of its divisors is an integer number (54815232).

Almost surely, 22014289088 is an apocalyptic number.

2014289088 is a gapful number since it is divisible by the number (28) 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 2014289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069652992).

2014289088 is an abundant number, since it is smaller than the sum of its proper divisors (4125016896).

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

2014289088 is a wasteful number, since it uses less digits than its factorization.

2014289088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11950 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2014289088 is about 44880.8320778481. The cubic root of 2014289088 is about 1262.9144527991.

The spelling of 2014289088 in words is "two billion, fourteen million, two hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 192 224 254 336 381 448 508 672 762 889 1016 1344 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 8128 10668 11801 12192 14224 21336 23602 24384 28448 35403 42672 47204 56896 70806 82607 85344 94408 141612 165214 170688 188816 247821 283224 330428 377632 495642 566448 660856 755264 991284 1132896 1321712 1498727 1982568 2265792 2643424 2997454 3965136 4496181 5286848 5994908 7930272 8992362 10491089 11989816 15860544 17984724 20982178 23979632 31473267 35969448 41964356 47959264 62946534 71938896 83928712 95918528 125893068 143877792 167857424 251786136 287755584 335714848 503572272 671429696 1007144544 2014289088