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14988240 = 24365257
BaseRepresentation
bin111001001011…
…001111010000
31001012111000000
4321023033100
512314110430
61253130000
7241253331
oct71131720
931174000
1014988240
118507983
125029900
13314a1a7
141dc2288
1514b0e60
hexe4b3d0

14988240 has 140 divisors (see below), whose sum is σ = 52450884. Its totient is φ = 3981312.

The previous prime is 14988217. The next prime is 14988257. The reversal of 14988240 is 4288941.

14988240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 3779136 = 3348^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14988195 and 14988204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58192 + ... + 58448.

Almost surely, 214988240 is an apocalyptic number.

14988240 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 14988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26225442).

14988240 is an abundant number, since it is smaller than the sum of its proper divisors (37462644).

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

14988240 is an equidigital number, since it uses as much as digits as its factorization.

14988240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14988240 is about 3871.4648390499. The cubic root of 14988240 is about 246.5567402405.

The spelling of 14988240 in words is "fourteen million, nine hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 257 270 324 360 405 432 486 514 540 648 720 729 771 810 972 1028 1080 1215 1285 1296 1458 1542 1620 1944 2056 2160 2313 2430 2570 2916 3084 3240 3645 3855 3888 4112 4626 4860 5140 5832 6168 6480 6939 7290 7710 9252 9720 10280 11565 11664 12336 13878 14580 15420 18504 19440 20560 20817 23130 27756 29160 30840 34695 37008 41634 46260 55512 58320 61680 62451 69390 83268 92520 104085 111024 124902 138780 166536 185040 187353 208170 249804 277560 312255 333072 374706 416340 499608 555120 624510 749412 832680 936765 999216 1249020 1498824 1665360 1873530 2498040 2997648 3747060 4996080 7494120 14988240