Search a number
-
+
14142864 = 243476269
BaseRepresentation
bin110101111100…
…110110010000
3222121112100210
4311330312100
512110032424
61223044120
7231132561
oct65746620
928545323
1014142864
117a8a81a
1248a0640
132c12478
141c42168
151395729
hexd7cd90

14142864 has 40 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 4613248.

The previous prime is 14142853. The next prime is 14142871. The reversal of 14142864 is 46824141.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 214142864 is an apocalyptic number.

It is an amenable number.

14142864 is an abundant number, since it is smaller than the sum of its proper divisors (23176176).

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

14142864 is a wasteful number, since it uses less digits than its factorization.

14142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6321 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14142864 is about 3760.6999348526. The cubic root of 14142864 is about 241.8312691273.

It can be divided in two parts, 1414 and 2864, that added together give a triangular number (4278 = T92).

The spelling of 14142864 in words is "fourteen million, one hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 6269 12538 18807 25076 37614 50152 75228 100304 150456 294643 300912 589286 883929 1178572 1767858 2357144 3535716 4714288 7071432 14142864