Search a number
-
+
161617060 = 225116112043
BaseRepresentation
bin10011010001000…
…01010010100100
3102021002222221001
421220201102210
5312333221220
624012003044
74001502523
oct1150412244
9367088831
10161617060
1183257320
1246160484
13276387c7
14176704ba
15e2c680a
hex9a214a4

161617060 has 48 divisors (see below), whose sum is σ = 376350912. Its totient is φ = 57801600.

The previous prime is 161617051. The next prime is 161617063. The reversal of 161617060 is 60716161.

It is a super-2 number, since 2×1616170602 = 52240148166087200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (161617063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7399 + ... + 19441.

It is an arithmetic number, because the mean of its divisors is an integer number (7840644).

Almost surely, 2161617060 is an apocalyptic number.

161617060 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 161617060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188175456).

161617060 is an abundant number, since it is smaller than the sum of its proper divisors (214733852).

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

161617060 is a wasteful number, since it uses less digits than its factorization.

161617060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12122 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 161617060 is about 12712.8698569599. The cubic root of 161617060 is about 544.7063030538.

The spelling of 161617060 in words is "one hundred sixty-one million, six hundred seventeen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 12043 13420 24086 48172 60215 120430 132473 240860 264946 529892 662365 734623 1324730 1469246 2649460 2938492 3673115 7346230 8080853 14692460 16161706 32323412 40404265 80808530 161617060