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2014104500 = 225319415171
BaseRepresentation
bin111100000001100…
…1100101110110100
312012100220002221222
41320003030232310
513111102321000
6531505125512
7100624414532
oct17003145664
95170802858
102014104500
11943a00581
12482629898
13261375215
141516cb152
15bbc4ba85
hex780ccbb4

2014104500 has 96 divisors (see below), whose sum is σ = 4744172160. Its totient is φ = 744480000.

The previous prime is 2014104493. The next prime is 2014104511. The reversal of 2014104500 is 54014102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386915 + ... + 392085.

It is an arithmetic number, because the mean of its divisors is an integer number (49418460).

Almost surely, 22014104500 is an apocalyptic number.

2014104500 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 2014104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372086080).

2014104500 is an abundant number, since it is smaller than the sum of its proper divisors (2730067660).

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

2014104500 is a wasteful number, since it uses less digits than its factorization.

2014104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2014104500 is about 44878.7756071843. The cubic root of 2014104500 is about 1262.8758740973.

Adding to 2014104500 its reverse (54014102), we get a palindrome (2068118602).

The spelling of 2014104500 in words is "two billion, fourteen million, one hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 125 164 190 205 250 380 410 475 500 779 820 950 1025 1558 1900 2050 2375 3116 3895 4100 4750 5125 5171 7790 9500 10250 10342 15580 19475 20500 20684 25855 38950 51710 77900 97375 98249 103420 129275 194750 196498 212011 258550 389500 392996 424022 491245 517100 646375 848044 982490 1060055 1292750 1964980 2120110 2456225 2585500 4028209 4240220 4912450 5300275 8056418 9824900 10600550 12281125 16112836 20141045 21201100 24562250 26501375 40282090 49124500 53002750 80564180 100705225 106005500 201410450 402820900 503526125 1007052250 2014104500