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134799840 = 25325743311
BaseRepresentation
bin10000000100011…
…10000111100000
3100101122112121200
420002032013200
5234002043330
621213121200
73224531310
oct1002160740
9311575550
10134799840
116a10012a
1239189200
1321c09426
1413c8d440
15bc7aa60
hex808e1e0

134799840 has 288 divisors, whose sum is σ = 539675136. Its totient is φ = 29998080.

The previous prime is 134799827. The next prime is 134799857. The reversal of 134799840 is 48997431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433285 + ... + 433595.

It is an arithmetic number, because the mean of its divisors is an integer number (1873872).

Almost surely, 2134799840 is an apocalyptic number.

134799840 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 134799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269837568).

134799840 is an abundant number, since it is smaller than the sum of its proper divisors (404875296).

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

134799840 is a wasteful number, since it uses less digits than its factorization.

134799840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 134799840 is about 11610.3333285483. Note that the first 4 decimals coincide. The cubic root of 134799840 is about 512.7391261646.

The spelling of 134799840 in words is "one hundred thirty-four million, seven hundred ninety-nine thousand, eight hundred forty".