Search a number
-
+
165103024 = 2431367907
BaseRepresentation
bin10011101011101…
…00010110110000
3102111200002202211
421311310112300
5314231244044
624214421504
74043231632
oct1165642660
9374602684
10165103024
1185218389
1247361894
13282893c8
1417cdaa52
15e764634
hex9d745b0

165103024 has 40 divisors (see below), whose sum is σ = 331470848. Its totient is φ = 79583040.

The previous prime is 165103009. The next prime is 165103051. The reversal of 165103024 is 420301561.

165103024 is digitally balanced in base 2 and base 3, because in such bases 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 = 165102986 and 165103004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181579 + ... + 182485.

Almost surely, 2165103024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165735424).

165103024 is an abundant number, since it is smaller than the sum of its proper divisors (166367824).

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

165103024 is a wasteful number, since it uses less digits than its factorization.

165103024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 165103024 is about 12849.2421566410. The cubic root of 165103024 is about 548.5947863835.

Adding to 165103024 its reverse (420301561), we get a palindrome (585404585).

The spelling of 165103024 in words is "one hundred sixty-five million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 367 496 734 907 1468 1814 2936 3628 5872 7256 11377 14512 22754 28117 45508 56234 91016 112468 182032 224936 332869 449872 665738 1331476 2662952 5325904 10318939 20637878 41275756 82551512 165103024