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14307760 = 245199413
BaseRepresentation
bin110110100101…
…000110110000
3222220220120001
4312211012300
512130322020
61230355344
7232420405
oct66450660
928826501
1014307760
1180926a5
12495bb54
132c6c53c
141c862ac
1513c950a
hexda51b0

14307760 has 40 divisors (see below), whose sum is σ = 35020080. Its totient is φ = 5421312.

The previous prime is 14307757. The next prime is 14307767. The reversal of 14307760 is 6770341.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×143077603 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14307767) 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 7 ways as a sum of consecutive naturals, for example, 3187 + ... + 6226.

It is an arithmetic number, because the mean of its divisors is an integer number (875502).

Almost surely, 214307760 is an apocalyptic number.

14307760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14307760 is an abundant number, since it is smaller than the sum of its proper divisors (20712320).

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

14307760 is a wasteful number, since it uses less digits than its factorization.

14307760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 14307760 is about 3782.5599796963. The cubic root of 14307760 is about 242.7675016010.

The spelling of 14307760 in words is "fourteen million, three hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 9413 18826 37652 47065 75304 94130 150608 178847 188260 357694 376520 715388 753040 894235 1430776 1788470 2861552 3576940 7153880 14307760