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134010240 = 2735713259
BaseRepresentation
bin1111111110011…
…01010110000000
3100100011102111020
413333031112000
5233301311430
621144145440
73215032260
oct777152600
9310142436
10134010240
1169710971
1238a68280
13219c0c00
1413b257a0
15bb71b10
hex7fcd580

134010240 has 384 divisors, whose sum is σ = 537580800. Its totient is φ = 27795456.

The previous prime is 134010221. The next prime is 134010277. The reversal of 134010240 is 42010431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2271331 + ... + 2271389.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 2134010240 is an apocalyptic number.

134010240 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 134010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

134010240 is an abundant number, since it is smaller than the sum of its proper divisors (403570560).

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

134010240 is a wasteful number, since it uses less digits than its factorization.

134010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134010240 is about 11576.2791949745. The cubic root of 134010240 is about 511.7360292932.

Adding to 134010240 its reverse (42010431), we get a palindrome (176020671).

The spelling of 134010240 in words is "one hundred thirty-four million, ten thousand, two hundred forty".