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14529840 = 2435134657
BaseRepresentation
bin110111011011…
…010100110000
31000100012012020
4313123110300
512204423330
61235231440
7234334023
oct67332460
930305166
1014529840
118224536
124a48580
133019650
141d031ba
151420210
hexddb530

14529840 has 80 divisors (see below), whose sum is σ = 48517728. Its totient is φ = 3575808.

The previous prime is 14529839. The next prime is 14529869. The reversal of 14529840 is 4892541.

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

It is a super-2 number, since 2×145298402 = 422232500851200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 5448.

Almost surely, 214529840 is an apocalyptic number.

14529840 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 14529840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258864).

14529840 is an abundant number, since it is smaller than the sum of its proper divisors (33987888).

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

14529840 is a wasteful number, since it uses less digits than its factorization.

14529840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14529840 is about 3811.8027231220. The cubic root of 14529840 is about 244.0171088962.

The spelling of 14529840 in words is "fourteen million, five hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4657 9314 13971 18628 23285 27942 37256 46570 55884 60541 69855 74512 93140 111768 121082 139710 181623 186280 223536 242164 279420 302705 363246 372560 484328 558840 605410 726492 908115 968656 1117680 1210820 1452984 1816230 2421640 2905968 3632460 4843280 7264920 14529840