Search a number
-
+
14142976 = 29231201
BaseRepresentation
bin110101111100…
…111000000000
3222121112111221
4311330320000
512110033401
61223044424
7231133111
oct65747000
928545457
1014142976
117a8a911
1248a0714
132c12533
141c42208
1513957a1
hexd7ce00

14142976 has 40 divisors (see below), whose sum is σ = 29511504. Its totient is φ = 6758400.

The previous prime is 14142971. The next prime is 14142979. The reversal of 14142976 is 67924141.

It is a super-3 number, since 3×141429763 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142971) 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 3 ways as a sum of consecutive naturals, for example, 11176 + ... + 12376.

Almost surely, 214142976 is an apocalyptic number.

14142976 is a gapful number since it is divisible by the number (16) 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 14142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755752).

14142976 is an abundant number, since it is smaller than the sum of its proper divisors (15368528).

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

14142976 is an equidigital number, since it uses as much as digits as its factorization.

14142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1226 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 14142976 is about 3760.7148256681. The cubic root of 14142976 is about 241.8319074947.

The spelling of 14142976 in words is "fourteen million, one hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1201 1472 2402 2944 4804 5888 9608 11776 19216 27623 38432 55246 76864 110492 153728 220984 307456 441968 614912 883936 1767872 3535744 7071488 14142976