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134285040 = 24345172353
BaseRepresentation
bin10000000000100…
…00011011110000
3100100200101110000
420000100123300
5233334110130
621154110000
73220255401
oct1000203360
9310611400
10134285040
116988937a
1238b7b300
1321a89006
1413b979a8
15bbc8260
hex80106f0

134285040 has 400 divisors, whose sum is σ = 525019968. Its totient is φ = 31629312.

The previous prime is 134285029. The next prime is 134285077. The reversal of 134285040 is 40582431.

134285040 is a `hidden beast` number, since 134 + 28 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134284995 and 134285013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2533654 + ... + 2533706.

Almost surely, 2134285040 is an apocalyptic number.

134285040 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 134285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262509984).

134285040 is an abundant number, since it is smaller than the sum of its proper divisors (390734928).

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

134285040 is a wasteful number, since it uses less digits than its factorization.

134285040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 134285040 is about 11588.1422152129. The cubic root of 134285040 is about 512.0855773296.

The spelling of 134285040 in words is "one hundred thirty-four million, two hundred eighty-five thousand, forty".