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14530640 = 245374909
BaseRepresentation
bin110111011011…
…100001010000
31000100020021212
4313123201100
512204440030
61235235252
7234336245
oct67334120
930306255
1014530640
1182250a3
124a48b28
133019b17
141d035cc
151420595
hexddb850

14530640 has 40 divisors (see below), whose sum is σ = 34703880. Its totient is φ = 5654016.

The previous prime is 14530583. The next prime is 14530657. The reversal of 14530640 is 4603541.

It is a happy number.

14530640 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 4 ways, for example, as 8904256 + 5626384 = 2984^2 + 2372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×145306402 = 422278997619200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 506 + ... + 5414.

It is an arithmetic number, because the mean of its divisors is an integer number (867597).

Almost surely, 214530640 is an apocalyptic number.

14530640 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 14530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351940).

14530640 is an abundant number, since it is smaller than the sum of its proper divisors (20173240).

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

14530640 is a wasteful number, since it uses less digits than its factorization.

14530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 14530640 is about 3811.9076589026. The cubic root of 14530640 is about 244.0215872686.

The spelling of 14530640 in words is "fourteen million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4909 9818 19636 24545 39272 49090 78544 98180 181633 196360 363266 392720 726532 908165 1453064 1816330 2906128 3632660 7265320 14530640