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134287440 = 24357219601
BaseRepresentation
bin10000000000100…
…01000001010000
3100100200111201220
420000101001100
5233334144230
621154125040
73220265400
oct1000210120
9310614656
10134287440
1169890161
1238b80780
1321a8a131
1413b98800
15bbc8d10
hex8011050

134287440 has 240 divisors, whose sum is σ = 510592320. Its totient is φ = 29030400.

The previous prime is 134287399. The next prime is 134287451. The reversal of 134287440 is 44782431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223140 + ... + 223740.

It is an arithmetic number, because the mean of its divisors is an integer number (2127468).

Almost surely, 2134287440 is an apocalyptic number.

134287440 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 134287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255296160).

134287440 is an abundant number, since it is smaller than the sum of its proper divisors (376304880).

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

134287440 is a wasteful number, since it uses less digits than its factorization.

134287440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 134287440 is about 11588.2457688815. The cubic root of 134287440 is about 512.0886280494.

The spelling of 134287440 in words is "one hundred thirty-four million, two hundred eighty-seven thousand, four hundred forty".