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14642980 = 22511101659
BaseRepresentation
bin110111110110…
…111100100100
31000112221101121
4313312330210
512222033410
61241503324
7235314622
oct67667444
930487347
1014642980
1182a1540
124aa1b44
133058cb1
141d32512
1514439da
hexdf6f24

14642980 has 48 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 5264000.

The previous prime is 14642959. The next prime is 14642983. The reversal of 14642980 is 8924641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14642983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21891 + ... + 22549.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 214642980 is an apocalyptic number.

14642980 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 14642980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

14642980 is an abundant number, since it is smaller than the sum of its proper divisors (19286300).

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

14642980 is a wasteful number, since it uses less digits than its factorization.

14642980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 14642980 is about 3826.6146918654. The cubic root of 14642980 is about 244.6488374660.

It can be divided in two parts, 1464 and 2980, that added together give a palindrome (4444).

The spelling of 14642980 in words is "fourteen million, six hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 659 1010 1111 1318 2020 2222 2636 3295 4444 5555 6590 7249 11110 13180 14498 22220 28996 36245 66559 72490 133118 144980 266236 332795 665590 732149 1331180 1464298 2928596 3660745 7321490 14642980