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14982040 = 2353753191
BaseRepresentation
bin111001001001…
…101110011000
31001012011111101
4321021232120
512313411130
61253041144
7241226263
oct71115630
931164441
1014982040
118503257
1250261b4
133147418
141dbdcda
1514ae1ca
hexe49b98

14982040 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 5690880.

The previous prime is 14982031. The next prime is 14982043. The reversal of 14982040 is 4028941.

14982040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14982043) 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, 78345 + ... + 78535.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 214982040 is an apocalyptic number.

14982040 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 14982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

14982040 is an abundant number, since it is smaller than the sum of its proper divisors (20476520).

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

14982040 is a wasteful number, since it uses less digits than its factorization.

14982040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14982040 is about 3870.6640257196. The cubic root of 14982040 is about 246.5227388586.

The spelling of 14982040 in words is "fourteen million, nine hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 53 74 106 148 185 191 212 265 296 370 382 424 530 740 764 955 1060 1480 1528 1910 1961 2120 3820 3922 7067 7640 7844 9805 10123 14134 15688 19610 20246 28268 35335 39220 40492 50615 56536 70670 78440 80984 101230 141340 202460 282680 374551 404920 749102 1498204 1872755 2996408 3745510 7491020 14982040