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14531712 = 273134171
BaseRepresentation
bin110111011011…
…110010000000
31000100021202120
4313123302000
512210003322
61235244240
7234342336
oct67336200
930307676
1014531712
118225988
124a49680
13301a460
141d03b56
151420a5c
hexddbc80

14531712 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 4300800.

The previous prime is 14531681. The next prime is 14531717. The reversal of 14531712 is 21713541.

14531712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145317122 = 422341307301888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14531717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204637 + ... + 204707.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 214531712 is an apocalyptic number.

14531712 is a gapful number since it is divisible by the number (12) 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 14531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

14531712 is an abundant number, since it is smaller than the sum of its proper divisors (28651008).

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

14531712 is a wasteful number, since it uses less digits than its factorization.

14531712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 14531712 is about 3812.0482683198. The cubic root of 14531712 is about 244.0275880300.

The spelling of 14531712 in words is "fourteen million, five hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 71 78 82 96 104 123 128 142 156 164 192 208 213 246 284 312 328 384 416 426 492 533 568 624 656 832 852 923 984 1066 1136 1248 1312 1599 1664 1704 1846 1968 2132 2272 2496 2624 2769 2911 3198 3408 3692 3936 4264 4544 4992 5248 5538 5822 6396 6816 7384 7872 8528 8733 9088 11076 11644 12792 13632 14768 15744 17056 17466 22152 23288 25584 27264 29536 34112 34932 37843 44304 46576 51168 59072 68224 69864 75686 88608 93152 102336 113529 118144 139728 151372 177216 186304 204672 227058 279456 302744 354432 372608 454116 558912 605488 908232 1117824 1210976 1816464 2421952 3632928 4843904 7265856 14531712