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14534640 = 243452243
BaseRepresentation
bin110111011100…
…011111110000
31000100102210000
4313130133300
512210102030
61235310000
7234354021
oct67343760
930312700
1014534640
1182280aa
124a4b300
13301b8a3
141d04c48
151421860
hexddc7f0

14534640 has 100 divisors (see below), whose sum is σ = 50503464. Its totient is φ = 3874176.

The previous prime is 14534627. The next prime is 14534647. The reversal of 14534640 is 4643541.

14534640 is a `hidden beast` number, since 14 + 5 + 3 + 4 + 640 = 666.

It is a super-2 number, since 2×145346402 = 422511519859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14534647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5359 + ... + 7601.

Almost surely, 214534640 is an apocalyptic number.

14534640 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 14534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25251732).

14534640 is an abundant number, since it is smaller than the sum of its proper divisors (35968824).

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

14534640 is a wasteful number, since it uses less digits than its factorization.

14534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 14534640 is about 3812.4322944808. The cubic root of 14534640 is about 244.0439766655.

The spelling of 14534640 in words is "fourteen million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2243 3240 4486 6480 6729 8972 11215 13458 17944 20187 22430 26916 33645 35888 40374 44860 53832 60561 67290 80748 89720 100935 107664 121122 134580 161496 179440 181683 201870 242244 269160 302805 322992 363366 403740 484488 538320 605610 726732 807480 908415 968976 1211220 1453464 1614960 1816830 2422440 2906928 3633660 4844880 7267320 14534640