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14187152 = 247197643
BaseRepresentation
bin110110000111…
…101010010000
3222200210010002
4312013222100
512112442102
61224025132
7231405650
oct66075220
928623102
1014187152
118010021
1249021a8
132c29685
141c54360
1513a3902
hexd87a90

14187152 has 40 divisors (see below), whose sum is σ = 31622976. Its totient is φ = 6039936.

The previous prime is 14187143. The next prime is 14187157. The reversal of 14187152 is 25178141.

It is a super-2 number, since 2×141871522 = 402550563742208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14187157) 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, 21743 + ... + 22385.

Almost surely, 214187152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14187152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811488).

14187152 is an abundant number, since it is smaller than the sum of its proper divisors (17435824).

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

14187152 is a wasteful number, since it uses less digits than its factorization.

14187152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 14187152 is about 3766.5835979041. The cubic root of 14187152 is about 242.0834354745.

The spelling of 14187152 in words is "fourteen million, one hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 643 788 1286 1379 1576 2572 2758 3152 4501 5144 5516 9002 10288 11032 18004 22064 36008 72016 126671 253342 506684 886697 1013368 1773394 2026736 3546788 7093576 14187152