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168450960 = 243517194153
BaseRepresentation
bin10100000101001…
…01101110010000
3102201222012021110
422002211232100
5321110412320
624414253320
74113544446
oct1202455620
9381865243
10168450960
11870a4777
12484b7240
1328b8c232
141852cb96
15ebc65e0
hexa0a5b90

168450960 has 320 divisors, whose sum is σ = 607461120. Its totient is φ = 38338560.

The previous prime is 168450929. The next prime is 168450967. The reversal of 168450960 is 69054861.

It is not an unprimeable number, because it can be changed into a prime (168450967) 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 63 ways as a sum of consecutive naturals, for example, 3178294 + ... + 3178346.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2168450960 is an apocalyptic number.

168450960 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 168450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

168450960 is an abundant number, since it is smaller than the sum of its proper divisors (439010160).

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

168450960 is a wasteful number, since it uses less digits than its factorization.

168450960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 168450960 is about 12978.8658980667. The cubic root of 168450960 is about 552.2781102257.

The spelling of 168450960 in words is "one hundred sixty-eight million, four hundred fifty thousand, nine hundred sixty".