Search a number
-
+
162156540 = 2235713171747
BaseRepresentation
bin10011010101001…
…00111111111100
3102022010101221210
421222210333330
5313003002130
624031324420
74006210410
oct1152447774
9368111853
10162156540
1183595677
1246380710
1327797220
1417770d40
15e3815b0
hex9aa4ffc

162156540 has 192 divisors, whose sum is σ = 592026624. Its totient is φ = 32182272.

The previous prime is 162156539. The next prime is 162156571. The reversal of 162156540 is 45651261.

162156540 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 = 162156498 and 162156507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91947 + ... + 93693.

It is an arithmetic number, because the mean of its divisors is an integer number (3083472).

Almost surely, 2162156540 is an apocalyptic number.

162156540 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 162156540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296013312).

162156540 is an abundant number, since it is smaller than the sum of its proper divisors (429870084).

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

162156540 is a wasteful number, since it uses less digits than its factorization.

162156540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 162156540 is about 12734.0700484959. The cubic root of 162156540 is about 545.3117090133.

The spelling of 162156540 in words is "one hundred sixty-two million, one hundred fifty-six thousand, five hundred forty".