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168870000 = 2435413433
BaseRepresentation
bin10100001000011…
…00000001110000
3102202202111002110
422010030001300
5321212320000
624431245320
74120241235
oct1204140160
9382674073
10168870000
1187360592
1248679840
1328ca7ba0
14185db78c
15ec5a850
hexa10c070

168870000 has 200 divisors, whose sum is σ = 588424144. Its totient is φ = 41472000.

The previous prime is 168869999. The next prime is 168870001. The reversal of 168870000 is 78861.

168870000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168869999) and next prime (168870001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 168870000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168870001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389784 + ... + 390216.

Almost surely, 2168870000 is an apocalyptic number.

168870000 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 168870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294212072).

168870000 is an abundant number, since it is smaller than the sum of its proper divisors (419554144).

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

168870000 is a wasteful number, since it uses less digits than its factorization.

168870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 168870000 is about 12994.9990380915. Note that the first 3 decimals coincide. The cubic root of 168870000 is about 552.7356815460.

The spelling of 168870000 in words is "one hundred sixty-eight million, eight hundred seventy thousand".