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14131640 = 235675273
BaseRepresentation
bin110101111010…
…000110111000
3222120221222002
4311322012320
512104203030
61222520132
7231055055
oct65720670
928527862
1014131640
117a82346
124896048
132c0a323
141c3c02c
151392245
hexd7a1b8

14131640 has 32 divisors (see below), whose sum is σ = 32276880. Its totient is φ = 5567232.

The previous prime is 14131633. The next prime is 14131643. The reversal of 14131640 is 4613141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131643) 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 7 ways as a sum of consecutive naturals, for example, 44 + ... + 5316.

Almost surely, 214131640 is an apocalyptic number.

14131640 is a gapful number since it is divisible by the number (10) 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 14131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138440).

14131640 is an abundant number, since it is smaller than the sum of its proper divisors (18145240).

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

14131640 is a wasteful number, since it uses less digits than its factorization.

14131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 14131640 is about 3759.2073632616. The cubic root of 14131640 is about 241.7672784928.

Adding to 14131640 its reverse (4613141), we get a palindrome (18744781).

The spelling of 14131640 in words is "fourteen million, one hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 5273 10546 21092 26365 42184 52730 105460 210920 353291 706582 1413164 1766455 2826328 3532910 7065820 14131640