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14704704 = 263272521
BaseRepresentation
bin111000000110…
…000001000000
31000200002001200
4320012001000
512231022304
61243101200
7235662600
oct70060100
930602050
1014704704
118333953
124b11800
13307b111
141d4ac00
151456e39
hexe06040

14704704 has 126 divisors (see below), whose sum is σ = 49123854. Its totient is φ = 4193280.

The previous prime is 14704699. The next prime is 14704709. The reversal of 14704704 is 40740741.

It is an interprime number because it is at equal distance from previous prime (14704699) and next prime (14704709).

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 3415104 = 3360^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (14704709) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27964 + ... + 28484.

Almost surely, 214704704 is an apocalyptic number.

14704704 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 14704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24561927).

14704704 is an abundant number, since it is smaller than the sum of its proper divisors (34419150).

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

14704704 is a wasteful number, since it uses less digits than its factorization.

14704704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 14704704 is about 3834.6713027325. The cubic root of 14704704 is about 244.9921085894.

The spelling of 14704704 in words is "fourteen million, seven hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 521 576 588 672 784 882 1008 1042 1176 1344 1563 1568 1764 2016 2084 2352 3126 3136 3528 3647 4032 4168 4689 4704 6252 7056 7294 8336 9378 9408 10941 12504 14112 14588 16672 18756 21882 25008 25529 28224 29176 32823 33344 37512 43764 50016 51058 58352 65646 75024 76587 87528 100032 102116 116704 131292 150048 153174 175056 204232 229761 233408 262584 300096 306348 350112 408464 459522 525168 612696 700224 816928 919044 1050336 1225392 1633856 1838088 2100672 2450784 3676176 4901568 7352352 14704704