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162243840 = 28351123167
BaseRepresentation
bin10011010101110…
…10010100000000
3102022021211201010
421222322110000
5313013300330
624033240520
74010023053
oct1152722400
9368254633
10162243840
1183645220
1246403140
13277c7b95
1417794a9a
15e39c3b0
hex9aba500

162243840 has 288 divisors, whose sum is σ = 593381376. Its totient is φ = 37396480.

The previous prime is 162243839. The next prime is 162243857. The reversal of 162243840 is 48342261.

162243840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 162243798 and 162243807.

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 31 ways as a sum of consecutive naturals, for example, 971437 + ... + 971603.

It is an arithmetic number, because the mean of its divisors is an integer number (2060352).

Almost surely, 2162243840 is an apocalyptic number.

162243840 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 162243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296690688).

162243840 is an abundant number, since it is smaller than the sum of its proper divisors (431137536).

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

162243840 is a wasteful number, since it uses less digits than its factorization.

162243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 162243840 is about 12737.4973994109. The cubic root of 162243840 is about 545.4095510360.

The spelling of 162243840 in words is "one hundred sixty-two million, two hundred forty-three thousand, eight hundred forty".