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14980240 = 2451129587
BaseRepresentation
bin111001001001…
…010010010000
31001012002000201
4321021102100
512313331430
61253024544
7241221112
oct71112220
931162021
1014980240
118501970
125025154
133146662
141dbd3b2
1514ad8ca
hexe49490

14980240 has 80 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 5250560.

The previous prime is 14980237. The next prime is 14980241. The reversal of 14980240 is 4208941.

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

It is a junction number, because it is equal to n+sod(n) for n = 14980199 and 14980208.

It is not an unprimeable number, because it can be changed into a prime (14980241) 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, 25227 + ... + 25813.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 214980240 is an apocalyptic number.

14980240 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 14980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

14980240 is an abundant number, since it is smaller than the sum of its proper divisors (24392240).

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

14980240 is a wasteful number, since it uses less digits than its factorization.

14980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

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

The square root of 14980240 is about 3870.4315004919. The cubic root of 14980240 is about 246.5128657326.

The spelling of 14980240 in words is "fourteen million, nine hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 587 638 880 1160 1174 1276 1595 2320 2348 2552 2935 3190 4696 5104 5870 6380 6457 9392 11740 12760 12914 17023 23480 25520 25828 32285 34046 46960 51656 64570 68092 85115 103312 129140 136184 170230 187253 258280 272368 340460 374506 516560 680920 749012 936265 1361840 1498024 1872530 2996048 3745060 7490120 14980240