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14791980 = 2235741859
BaseRepresentation
bin111000011011…
…010100101100
31000211111210010
4320123110230
512241320410
61245013220
7236505210
oct70332454
930744703
1014791980
118393485
124b54210
1330aba68
141d70940
151472c20
hexe1b52c

14791980 has 96 divisors (see below), whose sum is σ = 48545280. Its totient is φ = 3294720.

The previous prime is 14791979. The next prime is 14792003. The reversal of 14791980 is 8919741.

It is a happy number.

14791980 is nontrivially palindromic in base 9.

14791980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 16791 + ... + 17649.

It is an arithmetic number, because the mean of its divisors is an integer number (505680).

Almost surely, 214791980 is an apocalyptic number.

14791980 is a gapful number since it is divisible by the number (10) 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 14791980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24272640).

14791980 is an abundant number, since it is smaller than the sum of its proper divisors (33753300).

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

14791980 is a wasteful number, since it uses less digits than its factorization.

14791980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 14791980 is about 3846.0343212197. The cubic root of 14791980 is about 245.4758487558.

The spelling of 14791980 in words is "fourteen million, seven hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 859 861 1148 1230 1435 1718 1722 2460 2577 2870 3436 3444 4295 4305 5154 5740 6013 8590 8610 10308 12026 12885 17180 17220 18039 24052 25770 30065 35219 36078 51540 60130 70438 72156 90195 105657 120260 140876 176095 180390 211314 246533 352190 360780 422628 493066 528285 704380 739599 986132 1056570 1232665 1479198 2113140 2465330 2958396 3697995 4930660 7395990 14791980