Search a number
-
+
148616640 = 26335103167
BaseRepresentation
bin10001101101110…
…11010111000000
3101100122111201000
420312323113000
5301021213030
622425212000
73453135444
oct1066732700
9340574630
10148616640
1176987977
1241931000
1324a36353
1415a48824
15d0a9860
hex8dbb5c0

148616640 has 224 divisors, whose sum is σ = 532546560. Its totient is φ = 39011328.

The previous prime is 148616621. The next prime is 148616647. The reversal of 148616640 is 46616841.

148616640 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 1 + 6 + 640 = 666.

148616640 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 148616595 and 148616604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148616647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889837 + ... + 890003.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2148616640 is an apocalyptic number.

148616640 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 148616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

148616640 is an abundant number, since it is smaller than the sum of its proper divisors (383929920).

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

148616640 is a wasteful number, since it uses less digits than its factorization.

148616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 148616640 is about 12190.8424647356. The cubic root of 148616640 is about 529.6908604219.

The spelling of 148616640 in words is "one hundred forty-eight million, six hundred sixteen thousand, six hundred forty".