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170868096 = 2733721009
BaseRepresentation
bin10100010111100…
…11110110000000
3102220111222222000
422023303312000
5322220234341
624542144000
74143232500
oct1213636600
9386458860
10170868096
11884a5803
1249282000
13295274a9
141899ba00
15100028b6
hexa2f3d80

170868096 has 192 divisors, whose sum is σ = 587214000. Its totient is φ = 48771072.

The previous prime is 170868059. The next prime is 170868097. The reversal of 170868096 is 690868071.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170868097) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 168840 + ... + 169848.

Almost surely, 2170868096 is an apocalyptic number.

170868096 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 170868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293607000).

170868096 is an abundant number, since it is smaller than the sum of its proper divisors (416345904).

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

170868096 is a wasteful number, since it uses less digits than its factorization.

170868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 170868096 is about 13071.6523821589. The cubic root of 170868096 is about 554.9071575889.

The spelling of 170868096 in words is "one hundred seventy million, eight hundred sixty-eight thousand, ninety-six".