Search a number
-
+
148305024 = 2732753347
BaseRepresentation
bin10001101011011…
…11010010000000
3101100001200020200
420311233102000
5300431230044
622414405200
73450400110
oct1065572200
9340050220
10148305024
117679483a
1241800800
132495756a
14159a7040
15d047369
hex8d6f480

148305024 has 192 divisors, whose sum is σ = 498363840. Its totient is φ = 41453568.

The previous prime is 148304999. The next prime is 148305037. The reversal of 148305024 is 420503841.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427219 + ... + 427565.

It is an arithmetic number, because the mean of its divisors is an integer number (2595645).

Almost surely, 2148305024 is an apocalyptic number.

148305024 is a gapful number since it is divisible by the number (14) 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 148305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249181920).

148305024 is an abundant number, since it is smaller than the sum of its proper divisors (350058816).

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

148305024 is a wasteful number, since it uses less digits than its factorization.

148305024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 148305024 is about 12178.0550171199. The cubic root of 148305024 is about 529.3203867735.

Adding to 148305024 its reverse (420503841), we get a palindrome (568808865).

It can be divided in two parts, 14 and 8305024, that added together give a palindrome (8305038).

The spelling of 148305024 in words is "one hundred forty-eight million, three hundred five thousand, twenty-four".