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135170406 = 23271576833
BaseRepresentation
bin10000000111010…
…00100101100110
3100102100100221100
420003220211212
5234100423111
621225100530
73230633550
oct1003504546
9312310840
10135170406
116a333588
1239327746
1322008cb7
1413d484d0
15bd00756
hex80e8966

135170406 has 48 divisors (see below), whose sum is σ = 336888864. Its totient is φ = 38368512.

The previous prime is 135170369. The next prime is 135170419. The reversal of 135170406 is 604071531.

It is a self number, because there is not a number n which added to its sum of digits gives 135170406.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16366 + ... + 23198.

It is an arithmetic number, because the mean of its divisors is an integer number (7018518).

Almost surely, 2135170406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135170406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168444432).

135170406 is an abundant number, since it is smaller than the sum of its proper divisors (201718458).

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

135170406 is a wasteful number, since it uses less digits than its factorization.

135170406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135170406 is about 11626.2808326653. The cubic root of 135170406 is about 513.2085378127.

The spelling of 135170406 in words is "one hundred thirty-five million, one hundred seventy thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2826 3297 6594 6833 9891 13666 19782 20499 40998 47831 61497 95662 122994 143493 286986 430479 860958 1072781 2145562 3218343 6436686 7509467 9655029 15018934 19310058 22528401 45056802 67585203 135170406