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5135670 = 233523827
BaseRepresentation
bin10011100101110100110110
3100122220211000
4103211310312
52303320140
6302024130
761436541
oct23456466
910586730
105135670
112998561
121878046
1310aa777
14979858
156b6a30
hex4e5d36

5135670 has 64 divisors (see below), whose sum is σ = 14307840. Its totient is φ = 1308384.

The previous prime is 5135659. The next prime is 5135671. The reversal of 5135670 is 765315.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5797 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (223560).

Almost surely, 25135670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153920).

5135670 is an abundant number, since it is smaller than the sum of its proper divisors (9172170).

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

5135670 is a wasteful number, since it uses less digits than its factorization.

5135670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5135670 is about 2266.2016679899. The cubic root of 5135670 is about 172.5304294145.

It can be divided in two parts, 51 and 35670, that added together give a square (35721 = 1892).

The spelling of 5135670 in words is "five million, one hundred thirty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 827 1035 1242 1654 2070 2481 3105 4135 4962 6210 7443 8270 12405 14886 19021 22329 24810 37215 38042 44658 57063 74430 95105 111645 114126 171189 190210 223290 285315 342378 513567 570630 855945 1027134 1711890 2567835 5135670