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14457240 = 2332575737
BaseRepresentation
bin110111001001…
…100110011000
31000012111121100
4313021212120
512200112430
61233511400
7233612250
oct67114630
930174540
1014457240
118184a36
124a12560
132cc25a5
141cc4960
151408960
hexdc9998

14457240 has 96 divisors (see below), whose sum is σ = 53707680. Its totient is φ = 3303936.

The previous prime is 14457227. The next prime is 14457257. The reversal of 14457240 is 4275441.

14457240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349 + ... + 5388.

It is an arithmetic number, because the mean of its divisors is an integer number (559455).

Almost surely, 214457240 is an apocalyptic number.

14457240 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 14457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853840).

14457240 is an abundant number, since it is smaller than the sum of its proper divisors (39250440).

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

14457240 is a wasteful number, since it uses less digits than its factorization.

14457240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 14457240 is about 3802.2677443862. The cubic root of 14457240 is about 243.6100103468.

The spelling of 14457240 in words is "fourteen million, four hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5737 11474 17211 22948 28685 34422 40159 45896 51633 57370 68844 80318 86055 103266 114740 120477 137688 160636 172110 200795 206532 229480 240954 258165 321272 344220 361431 401590 413064 481908 516330 602385 688440 722862 803180 963816 1032660 1204770 1445724 1606360 1807155 2065320 2409540 2891448 3614310 4819080 7228620 14457240