Search a number
-
+
56116170 = 23251125153
BaseRepresentation
bin1101011000010…
…0001111001010
310220120222220200
43112010033022
5103331204140
65322433030
71250656665
oct326041712
9126528820
1056116170
1129748a00
1216962776
13b81a246
14764a6dc
154dd7030
hex35843ca

56116170 has 72 divisors (see below), whose sum is σ = 160402788. Its totient is φ = 13601280.

The previous prime is 56116163. The next prime is 56116213. The reversal of 56116170 is 7161165.

It can be written as a sum of positive squares in 2 ways, for example, as 56115081 + 1089 = 7491^2 + 33^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8314 + ... + 13466.

Almost surely, 256116170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56116170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80201394).

56116170 is an abundant number, since it is smaller than the sum of its proper divisors (104286618).

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

56116170 is a wasteful number, since it uses less digits than its factorization.

56116170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 56116170 is about 7491.0726868720. The cubic root of 56116170 is about 382.8506076572.

It can be divided in two parts, 5611 and 6170, that added together give a triangular number (11781 = T153).

The spelling of 56116170 in words is "fifty-six million, one hundred sixteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5153 5445 10306 10890 15459 25765 30918 46377 51530 56683 77295 92754 113366 154590 170049 231885 283415 340098 463770 510147 566830 623513 850245 1020294 1247026 1700490 1870539 2550735 3117565 3741078 5101470 5611617 6235130 9352695 11223234 18705390 28058085 56116170