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14093712 = 2432971009
BaseRepresentation
bin110101110000…
…110110010000
3222112000221100
4311300312100
512101444322
61222024400
7230536353
oct65606620
928460840
1014093712
117a568a6
124878100
132bc5c99
141c2c29a
151385dac
hexd70d90

14093712 has 60 divisors (see below), whose sum is σ = 39888940. Its totient is φ = 4644864.

The previous prime is 14093711. The next prime is 14093741. The reversal of 14093712 is 21739041.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 8785296 = 2304^2 + 2964^2 .

It is not an unprimeable number, because it can be changed into a prime (14093711) 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 11 ways as a sum of consecutive naturals, for example, 13464 + ... + 14472.

Almost surely, 214093712 is an apocalyptic number.

14093712 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 14093712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944470).

14093712 is an abundant number, since it is smaller than the sum of its proper divisors (25795228).

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

14093712 is a wasteful number, since it uses less digits than its factorization.

14093712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14093712 is about 3754.1592933705. The cubic root of 14093712 is about 241.5507911123.

The spelling of 14093712 in words is "fourteen million, ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1009 1164 1552 1746 2018 2328 3027 3492 4036 4656 6054 6984 8072 9081 12108 13968 16144 18162 24216 36324 48432 72648 97873 145296 195746 293619 391492 587238 782984 880857 1174476 1565968 1761714 2348952 3523428 4697904 7046856 14093712