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8135140 = 2251367467
BaseRepresentation
bin11111000010000111100100
3120022022022111
4133002013210
54040311030
6450210404
7126101416
oct37020744
916268274
108135140
114657062
122883a04
1318baac0
14111a9b6
15aaa62a
hex7c21e4

8135140 has 48 divisors (see below), whose sum is σ = 18712512. Its totient is φ = 2952576.

The previous prime is 8135137. The next prime is 8135147. The reversal of 8135140 is 415318.

It is not an unprimeable number, because it can be changed into a prime (8135147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17187 + ... + 17653.

It is an arithmetic number, because the mean of its divisors is an integer number (389844).

Almost surely, 28135140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256).

8135140 is an abundant number, since it is smaller than the sum of its proper divisors (10577372).

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

8135140 is a wasteful number, since it uses less digits than its factorization.

8135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 8135140 is about 2852.2166818108. The cubic root of 8135140 is about 201.1198842588.

The spelling of 8135140 in words is "eight million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 467 670 871 934 1340 1742 1868 2335 3484 4355 4670 6071 8710 9340 12142 17420 24284 30355 31289 60710 62578 121420 125156 156445 312890 406757 625780 813514 1627028 2033785 4067570 8135140