Search a number
-
+
162981000 = 233253713199
BaseRepresentation
bin10011011011011…
…10010010001000
3102100200021220100
421231232102020
5313210343000
624101125400
74016213160
oct1155562210
9370607810
10162981000
1183aa9046
12466b9860
13279c5580
14179075a0
15e495a00
hex9b6e488

162981000 has 384 divisors, whose sum is σ = 681408000. Its totient is φ = 34214400.

The previous prime is 162980977. The next prime is 162981019. The reversal of 162981000 is 189261.

It is a super-2 number, since 2×1629810002 = 53125612722000000, which contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 818901 + ... + 819099.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2162981000 is an apocalyptic number.

162981000 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 162981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704000).

162981000 is an abundant number, since it is smaller than the sum of its proper divisors (518427000).

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

162981000 is a wasteful number, since it uses less digits than its factorization.

162981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 162981000 is about 12766.4012156911. The cubic root of 162981000 is about 546.2343316499.

The spelling of 162981000 in words is "one hundred sixty-two million, nine hundred eighty-one thousand".