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168119000 = 2353724773
BaseRepresentation
bin10100000010101…
…00101011011000
3102201100022220122
422001110223120
5321014302000
624403212412
74110662600
oct1201245330
9381308818
10168119000
1186998325
1248377108
1328aa40ca
1418483c00
15eb5d085
hexa054ad8

168119000 has 192 divisors, whose sum is σ = 473765760. Its totient is φ = 55641600.

The previous prime is 168118987. The next prime is 168119023. The reversal of 168119000 is 911861.

It is a super-2 number, since 2×1681190002 = 56527996322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2302964 + ... + 2303036.

It is an arithmetic number, because the mean of its divisors is an integer number (2467530).

Almost surely, 2168119000 is an apocalyptic number.

168119000 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 168119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236882880).

168119000 is an abundant number, since it is smaller than the sum of its proper divisors (305646760).

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

168119000 is a wasteful number, since it uses less digits than its factorization.

168119000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 168119000 is about 12966.0711088595. The cubic root of 168119000 is about 551.9150870577.

The spelling of 168119000 in words is "one hundred sixty-eight million, one hundred nineteen thousand".