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14453640 = 233551487
BaseRepresentation
bin110111001000…
…101110001000
31000012022200000
4313020232020
512200004030
61233443000
7233565615
oct67105610
930168600
1014453640
118182263
124a10460
132cc0a66
141cc350c
151407860
hexdc8b88

14453640 has 96 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3851712.

The previous prime is 14453627. The next prime is 14453641. The reversal of 14453640 is 4635441.

14453640 is a `hidden beast` number, since 14 + 4 + 5 + 3 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14453641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8977 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 214453640 is an apocalyptic number.

14453640 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 14453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

14453640 is an abundant number, since it is smaller than the sum of its proper divisors (34293240).

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

14453640 is a wasteful number, since it uses less digits than its factorization.

14453640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1497 counting only the distinct ones).

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

The square root of 14453640 is about 3801.7943132158. The cubic root of 14453640 is about 243.5897882103.

The spelling of 14453640 in words is "fourteen million, four hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1487 1620 1944 2430 2974 3240 4461 4860 5948 7435 8922 9720 11896 13383 14870 17844 22305 26766 29740 35688 40149 44610 53532 59480 66915 80298 89220 107064 120447 133830 160596 178440 200745 240894 267660 321192 361341 401490 481788 535320 602235 722682 802980 963576 1204470 1445364 1605960 1806705 2408940 2890728 3613410 4817880 7226820 14453640