Search a number
-
+
169912080 = 24345132017
BaseRepresentation
bin10100010000010…
…10011100010000
3102211201102120000
422020022130100
5321444141310
624505450000
74132141332
oct1210123420
9384642500
10169912080
1187a02508
1248aa0900
13292812c0
14187cd452
15edb44c0
hexa20a710

169912080 has 200 divisors, whose sum is σ = 635839512. Its totient is φ = 41803776.

The previous prime is 169912037. The next prime is 169912081. The reversal of 169912080 is 80219961.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 153363456 = 4068^2 + 12384^2 .

It is a super-2 number, since 2×1699120802 = 57740229859852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (169912081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83232 + ... + 85248.

Almost surely, 2169912080 is an apocalyptic number.

169912080 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 169912080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317919756).

169912080 is an abundant number, since it is smaller than the sum of its proper divisors (465927432).

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

169912080 is a wasteful number, since it uses less digits than its factorization.

169912080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 169912080 is about 13035.0327962763. The cubic root of 169912080 is about 553.8703098439.

The spelling of 169912080 in words is "one hundred sixty-nine million, nine hundred twelve thousand, eighty".