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14131884 = 22313157577
BaseRepresentation
bin110101111010…
…001010101100
3222120222022010
4311322022230
512104210014
61222521220
7231055554
oct65721254
928528263
1014131884
117a82548
124896210
132c0a480
141c3c164
151392359
hexd7a2ac

14131884 has 48 divisors (see below), whose sum is σ = 35799008. Its totient is φ = 4313088.

The previous prime is 14131823. The next prime is 14131889. The reversal of 14131884 is 48813141.

14131884 = T129 + T130 + ... + T442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24204 + ... + 24780.

Almost surely, 214131884 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 14131884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899504).

14131884 is an abundant number, since it is smaller than the sum of its proper divisors (21667124).

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

14131884 is a wasteful number, since it uses less digits than its factorization.

14131884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 14131884 is about 3759.2398167715. The cubic root of 14131884 is about 241.7686699537.

The spelling of 14131884 in words is "fourteen million, one hundred thirty-one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 577 628 942 1154 1731 1884 2041 2308 3462 4082 6123 6924 7501 8164 12246 15002 22503 24492 30004 45006 90012 90589 181178 271767 362356 543534 1087068 1177657 2355314 3532971 4710628 7065942 14131884