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14146132 = 22711133533
BaseRepresentation
bin110101111101…
…101001010100
3222121200211211
4311331221110
512110134012
61223111204
7231145240
oct65755124
928550754
1014146132
117a92220
1248a2504
132c13ac0
141c43420
1513966a7
hexd7da54

14146132 has 48 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 5086080.

The previous prime is 14146117. The next prime is 14146141. The reversal of 14146132 is 23164141.

It is a super-2 number, since 2×141461322 = 400226101122848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2238 + ... + 5770.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 214146132 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 14146132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

14146132 is an abundant number, since it is smaller than the sum of its proper divisors (19101740).

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

14146132 is a wasteful number, since it uses less digits than its factorization.

14146132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3566 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 14146132 is about 3761.1344033416. The cubic root of 14146132 is about 241.8498943912.

Subtracting 14146132 from its reverse (23164141), we obtain a square (9018009 = 30032).

The spelling of 14146132 in words is "fourteen million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 3533 4004 7066 14132 24731 38863 45929 49462 77726 91858 98924 155452 183716 272041 321503 505219 544082 643006 1010438 1088164 1286012 2020876 3536533 7073066 14146132