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14040980 = 2251761677
BaseRepresentation
bin110101100011…
…111110010100
3222102100121022
4311203332110
512043302410
61220540312
7230226542
oct65437624
928370538
1014040980
117a20218
124851698
132ba7c95
141c16d92
151375455
hexd63f94

14040980 has 48 divisors (see below), whose sum is σ = 31779216. Its totient is φ = 5191680.

The previous prime is 14040979. The next prime is 14040991. The reversal of 14040980 is 8904041.

It can be written as a sum of positive squares in 8 ways, for example, as 232324 + 13808656 = 482^2 + 3716^2 .

It is a congruent number.

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, 20402 + ... + 21078.

It is an arithmetic number, because the mean of its divisors is an integer number (662067).

Almost surely, 214040980 is an apocalyptic number.

14040980 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 14040980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889608).

14040980 is an abundant number, since it is smaller than the sum of its proper divisors (17738236).

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

14040980 is a wasteful number, since it uses less digits than its factorization.

14040980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 14040980 is about 3747.1295680827. The cubic root of 14040980 is about 241.2491583637.

The spelling of 14040980 in words is "fourteen million, forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 677 1037 1220 1354 2074 2708 3385 4148 5185 6770 10370 11509 13540 20740 23018 41297 46036 57545 82594 115090 165188 206485 230180 412970 702049 825940 1404098 2808196 3510245 7020490 14040980