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169426080 = 2534517769
BaseRepresentation
bin10100001100100…
…11110010100000
3102210210201220000
422012103302200
5321333113310
624451220000
74125045405
oct1206236240
9383721800
10169426080
118770035a
12488a7600
1329141025
14187042ac
15ed1a4c0
hexa193ca0

169426080 has 240 divisors, whose sum is σ = 633928680. Its totient is φ = 42467328.

The previous prime is 169426069. The next prime is 169426087. The reversal of 169426080 is 80624961.

169426080 is a `hidden beast` number, since 1 + 6 + 9 + 42 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147185424 + 22240656 = 12132^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169426087) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 219936 + ... + 220704.

Almost surely, 2169426080 is an apocalyptic number.

169426080 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 169426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316964340).

169426080 is an abundant number, since it is smaller than the sum of its proper divisors (464502600).

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

169426080 is a wasteful number, since it uses less digits than its factorization.

169426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 169426080 is about 13016.3773762134. The cubic root of 169426080 is about 553.3417266190.

The spelling of 169426080 in words is "one hundred sixty-nine million, four hundred twenty-six thousand, eighty".