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168067296 = 25322920123
BaseRepresentation
bin10100000010010…
…00000011100000
3102201020200222200
422001020003200
5321011123141
624402133200
74110356055
oct1201100340
9381220880
10168067296
11869624a1
1248351200
1328a86707
141846d02c
15eb4cab6
hexa0480e0

168067296 has 72 divisors (see below), whose sum is σ = 494446680. Its totient is φ = 54087936.

The previous prime is 168067271. The next prime is 168067303. The reversal of 168067296 is 692760861.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1710 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (6867315).

Almost surely, 2168067296 is an apocalyptic number.

168067296 is a gapful number since it is divisible by the number (16) 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 168067296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247223340).

168067296 is an abundant number, since it is smaller than the sum of its proper divisors (326379384).

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

168067296 is a wasteful number, since it uses less digits than its factorization.

168067296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20168 (or 20157 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 168067296 is about 12964.0771364567. The cubic root of 168067296 is about 551.8585018541.

The spelling of 168067296 in words is "one hundred sixty-eight million, sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 20123 40246 60369 80492 120738 160984 181107 241476 321968 362214 482952 583567 643936 724428 965904 1167134 1448856 1750701 1931808 2334268 2897712 3501402 4668536 5252103 5795424 7002804 9337072 10504206 14005608 18674144 21008412 28011216 42016824 56022432 84033648 168067296