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14540640 = 253530293
BaseRepresentation
bin110111011101…
…111101100000
31000100202000020
4313131331200
512210300030
61235353440
7234410352
oct67357540
930322006
1014540640
118231664
124a52880
13302153a
141d070d2
151423510
hexdddf60

14540640 has 48 divisors (see below), whose sum is σ = 45804528. Its totient is φ = 3877376.

The previous prime is 14540633. The next prime is 14540641. The reversal of 14540640 is 4604541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×145406402 = 422860423219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14540640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14540641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14667 + ... + 15626.

It is an arithmetic number, because the mean of its divisors is an integer number (954261).

Almost surely, 214540640 is an apocalyptic number.

14540640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14540640 is an abundant number, since it is smaller than the sum of its proper divisors (31263888).

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

14540640 is a wasteful number, since it uses less digits than its factorization.

14540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30311 (or 30303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14540640 is about 3813.2191125085. The cubic root of 14540640 is about 244.0775530600.

The spelling of 14540640 in words is "fourteen million, five hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 30293 60586 90879 121172 151465 181758 242344 302930 363516 454395 484688 605860 727032 908790 969376 1211720 1454064 1817580 2423440 2908128 3635160 4846880 7270320 14540640