Search a number
-
+
168960000 = 21335411
BaseRepresentation
bin10100001001000…
…10000000000000
3102202221001112210
422010202000000
5321223210000
624433222120
74121064516
oct1204420000
9382831483
10168960000
1187412170
1248701940
1329009b41
14186224b6
15ec77350
hexa122000

168960000 has 280 divisors, whose sum is σ = 614165904. Its totient is φ = 40960000.

The previous prime is 168959981. The next prime is 168960037. The reversal of 168960000 is 69861.

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 168960000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359995 + ... + 15360005.

Almost surely, 2168960000 is an apocalyptic number.

168960000 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 168960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307082952).

168960000 is an abundant number, since it is smaller than the sum of its proper divisors (445205904).

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

168960000 is an frugal number, since it uses more digits than its factorization.

168960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 168960000 is about 12998.4614474175. The cubic root of 168960000 is about 552.8338584009.

The spelling of 168960000 in words is "one hundred sixty-eight million, nine hundred sixty thousand".