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14256704 = 267112263
BaseRepresentation
bin110110011000…
…101001000000
3222211022112002
4312120221000
512122203304
61225323132
7232115510
oct66305100
928738462
1014256704
118058300
1249364a8
132c52227
141c71840
1513b931e
hexd98a40

14256704 has 84 divisors (see below), whose sum is σ = 35673792. Its totient is φ = 5533440.

The previous prime is 14256703. The next prime is 14256709. The reversal of 14256704 is 40765241.

It is not an unprimeable number, because it can be changed into a prime (14256703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54077 + ... + 54339.

It is an arithmetic number, because the mean of its divisors is an integer number (424688).

Almost surely, 214256704 is an apocalyptic number.

14256704 is a gapful number since it is divisible by the number (14) 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 14256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836896).

14256704 is an abundant number, since it is smaller than the sum of its proper divisors (21417088).

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

14256704 is a wasteful number, since it uses less digits than its factorization.

14256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 14256704 is about 3775.8050797148. The cubic root of 14256704 is about 242.4783925198.

It can be divided in two parts, 14256 and 704, that multiplied together give a square (10036224 = 31682).

The spelling of 14256704 in words is "fourteen million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 263 308 352 448 484 526 616 704 847 968 1052 1232 1694 1841 1936 2104 2464 2893 3388 3682 3872 4208 4928 5786 6776 7364 7744 8416 11572 13552 14728 16832 20251 23144 27104 29456 31823 40502 46288 54208 58912 63646 81004 92576 117824 127292 162008 185152 222761 254584 324016 445522 509168 648032 891044 1018336 1296064 1782088 2036672 3564176 7128352 14256704