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14912240 = 245731859
BaseRepresentation
bin111000111000…
…101011110000
31001001121202012
4320320223300
512304142430
61251342052
7240515630
oct70705360
931047665
1014912240
118465872
124bb1928
133121715
141da26c0
151498695
hexe38af0

14912240 has 80 divisors (see below), whose sum is σ = 40949760. Its totient is φ = 4942080.

The previous prime is 14912231. The next prime is 14912263. The reversal of 14912240 is 4221941.

14912240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16931 + ... + 17789.

It is an arithmetic number, because the mean of its divisors is an integer number (511872).

Almost surely, 214912240 is an apocalyptic number.

14912240 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 14912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474880).

14912240 is an abundant number, since it is smaller than the sum of its proper divisors (26037520).

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

14912240 is a wasteful number, since it uses less digits than its factorization.

14912240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14912240 is about 3861.6369585967. The cubic root of 14912240 is about 246.1393002222.

The spelling of 14912240 in words is "fourteen million, nine hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 859 868 1085 1240 1718 1736 2170 2480 3436 3472 4295 4340 6013 6872 8590 8680 12026 13744 17180 17360 24052 26629 30065 34360 48104 53258 60130 68720 96208 106516 120260 133145 186403 213032 240520 266290 372806 426064 481040 532580 745612 932015 1065160 1491224 1864030 2130320 2982448 3728060 7456120 14912240