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14996240 = 245761439
BaseRepresentation
bin111001001101…
…001100010000
31001012212222022
4321031030100
512314334430
61253231012
7241315550
oct71151420
931185868
1014996240
118512996
125032468
133150a1c
141dc5160
1514b34e5
hexe4d310

14996240 has 80 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 5045760.

The previous prime is 14996239. The next prime is 14996249. The reversal of 14996240 is 4269941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14996240.

It is not an unprimeable number, because it can be changed into a prime (14996249) 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, 33941 + ... + 34379.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 214996240 is an apocalyptic number.

14996240 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 14996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

14996240 is an abundant number, since it is smaller than the sum of its proper divisors (25596400).

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

14996240 is a wasteful number, since it uses less digits than its factorization.

14996240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 14996240 is about 3872.4979018716. The cubic root of 14996240 is about 246.6005991390.

The spelling of 14996240 in words is "fourteen million, nine hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 439 488 560 610 854 878 976 1220 1708 1756 2135 2195 2440 3073 3416 3512 4270 4390 4880 6146 6832 7024 8540 8780 12292 15365 17080 17560 24584 26779 30730 34160 35120 49168 53558 61460 107116 122920 133895 187453 214232 245840 267790 374906 428464 535580 749812 937265 1071160 1499624 1874530 2142320 2999248 3749060 7498120 14996240