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14942980 = 2251324421
BaseRepresentation
bin111001000000…
…001100000100
31001010011220201
4321000030010
512311133410
61252140244
7241004353
oct71001404
931104821
1014942980
118486978
125007684
133132700
141dad99a
1514a283a
hexe40304

14942980 has 36 divisors (see below), whose sum is σ = 33987492. Its totient is φ = 5516160.

The previous prime is 14942971. The next prime is 14942981. The reversal of 14942980 is 8924941.

14942980 = T413 + T414 + ... + T542.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1149184 + 13793796 = 1072^2 + 3714^2 .

It is not an unprimeable number, because it can be changed into a prime (14942981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 5590.

It is an arithmetic number, because the mean of its divisors is an integer number (944097).

Almost surely, 214942980 is an apocalyptic number.

14942980 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 14942980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993746).

14942980 is an abundant number, since it is smaller than the sum of its proper divisors (19044512).

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

14942980 is a wasteful number, since it uses less digits than its factorization.

14942980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 14942980 is about 3865.6150868911. The cubic root of 14942980 is about 246.3083141548.

The spelling of 14942980 in words is "fourteen million, nine hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 4421 8842 17684 22105 44210 57473 88420 114946 229892 287365 574730 747149 1149460 1494298 2988596 3735745 7471490 14942980