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166063360 = 285129737
BaseRepresentation
bin10011110010111…
…10110100000000
3102120110220002211
421321132310000
5320003011420
624251151504
74054341511
oct1171366400
9376426084
10166063360
1185813951
1247745594
1328534558
14180aaa08
15e8a3e5a
hex9e5ed00

166063360 has 36 divisors (see below), whose sum is σ = 397776708. Its totient is φ = 66424832.

The previous prime is 166063343. The next prime is 166063397. The reversal of 166063360 is 63360661.

166063360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82011136 + 84052224 = 9056^2 + 9168^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63589 + ... + 66148.

It is an arithmetic number, because the mean of its divisors is an integer number (11049353).

Almost surely, 2166063360 is an apocalyptic number.

166063360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166063360 is an abundant number, since it is smaller than the sum of its proper divisors (231713348).

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

166063360 is an equidigital number, since it uses as much as digits as its factorization.

166063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129758 (or 129744 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 166063360 is about 12886.5573370082. The cubic root of 166063360 is about 549.6563804053.

The spelling of 166063360 in words is "one hundred sixty-six million, sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 129737 259474 518948 648685 1037896 1297370 2075792 2594740 4151584 5189480 8303168 10378960 16606336 20757920 33212672 41515840 83031680 166063360