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169456 = 2471789
BaseRepresentation
bin101001010111110000
322121110011
4221113300
520410311
63344304
71304020
oct512760
9277404
10169456
11106351
1282094
135c191
1445a80
1535321
hex295f0

169456 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 67584.

The previous prime is 169427. The next prime is 169457. The reversal of 169456 is 654961.

169456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169457) by changing a digit.

It is a nontrivial repunit in base 55.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1860 + ... + 1948.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2169456 is an apocalyptic number.

169456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

169456 is the 238-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

169456 is an abundant number, since it is smaller than the sum of its proper divisors (232304).

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

169456 is a wasteful number, since it uses less digits than its factorization.

169456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 169456 is about 411.6503370580. The cubic root of 169456 is about 55.3374297382.

It can be divided in two parts, 1694 and 56, that multiplied together give a square (94864 = 3082).

The spelling of 169456 in words is "one hundred sixty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 89 112 119 136 178 238 272 356 476 623 712 952 1246 1424 1513 1904 2492 3026 4984 6052 9968 10591 12104 21182 24208 42364 84728 169456