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168065296 = 24724632
BaseRepresentation
bin10100000010001…
…11100100010000
3102201020121020121
422001013210100
5321011042141
624402120024
74110350200
oct1201074420
9381217217
10168065296
1186960a43
1248350014
1328a85829
141846c400
15eb4c1d1
hexa047910

168065296 has 45 divisors (see below), whose sum is σ = 379609911. Its totient is φ = 71872416.

The previous prime is 168065269. The next prime is 168065297. The reversal of 168065296 is 692560861.

The square root of 168065296 is 12964.

It is a perfect power (a square), and thus also a powerful number.

168065296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168065297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 362761 + ... + 363223.

Almost surely, 2168065296 is an apocalyptic number.

168065296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168065296 is the 12964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168065296

168065296 is an abundant number, since it is smaller than the sum of its proper divisors (211544615).

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

168065296 is an frugal number, since it uses more digits than its factorization.

168065296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The cubic root of 168065296 is about 551.8563128076.

The spelling of 168065296 in words is "one hundred sixty-eight million, sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 463 784 926 1852 3241 3704 6482 7408 12964 22687 25928 45374 51856 90748 181496 214369 362992 428738 857476 1500583 1714952 3001166 3429904 6002332 10504081 12004664 21008162 24009328 42016324 84032648 168065296