Search a number
-
+
162138040 = 23523176237
BaseRepresentation
bin10011010101000…
…00011110111000
3102022002110120121
421222200132320
5313001404130
624031103024
74006102441
oct1152403670
9368073517
10162138040
1183582789
1246371a74
132778b98c
14177682c8
15e37ad7a
hex9aa07b8

162138040 has 32 divisors (see below), whose sum is σ = 380674080. Its totient is φ = 62035072.

The previous prime is 162138023. The next prime is 162138047. The reversal of 162138040 is 40831261.

162138040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 162137996 and 162138014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162138047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87199 + ... + 89038.

It is an arithmetic number, because the mean of its divisors is an integer number (11896065).

Almost surely, 2162138040 is an apocalyptic number.

162138040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162138040 is an abundant number, since it is smaller than the sum of its proper divisors (218536040).

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

162138040 is a wasteful number, since it uses less digits than its factorization.

162138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176271 (or 176267 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 162138040 is about 12733.3436300133. The cubic root of 162138040 is about 545.2909705131.

The spelling of 162138040 in words is "one hundred sixty-two million, one hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 176237 352474 704948 881185 1409896 1762370 3524740 4053451 7049480 8106902 16213804 20267255 32427608 40534510 81069020 162138040