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2014920900 = 223352746267
BaseRepresentation
bin111100000011001…
…0100000011000100
312012102102120212000
41320012110003010
513111304432100
6531534425300
7100634354646
oct17006240304
95172376760
102014920900
11944408993
12482962230
1326159c9b5
14151860896
15bbd5d900
hex781940c4

2014920900 has 72 divisors (see below), whose sum is σ = 6477606240. Its totient is φ = 537311520.

The previous prime is 2014920893. The next prime is 2014920923. The reversal of 2014920900 is 90294102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370434 + ... + 375833.

Almost surely, 22014920900 is an apocalyptic number.

2014920900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014920900 is an abundant number, since it is smaller than the sum of its proper divisors (4462685340).

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

2014920900 is a wasteful number, since it uses less digits than its factorization.

2014920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746290 (or 746277 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2014920900 is about 44887.8702992245. The cubic root of 2014920900 is about 1263.0464830191.

The spelling of 2014920900 in words is "two billion, fourteen million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 746267 1492534 2238801 2985068 3731335 4477602 6716403 7462670 8955204 11194005 13432806 14925340 18656675 20149209 22388010 26865612 33582015 37313350 40298418 44776020 55970025 67164030 74626700 80596836 100746045 111940050 134328060 167910075 201492090 223880100 335820150 402984180 503730225 671640300 1007460450 2014920900