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BaseRepresentation
bin10001101100011…
…11110001000000
3101100022102202200
420312033301000
5301000004310
622421313200
73451463040
oct1066176100
9340272680
10148438080
11768757aa
1241865800
13249a2cab
14159dd720
15d0719c0
hex8d8fc40

148438080 has 336 divisors, whose sum is σ = 602284800. Its totient is φ = 32845824.

The previous prime is 148438061. The next prime is 148438091. The reversal of 148438080 is 80834841.

148438080 is a `hidden beast` number, since 148 + 438 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745821 + ... + 746019.

Almost surely, 2148438080 is an apocalyptic number.

148438080 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 148438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301142400).

148438080 is an abundant number, since it is smaller than the sum of its proper divisors (453846720).

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

148438080 is a wasteful number, since it uses less digits than its factorization.

148438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148438080 is about 12183.5167336857. The cubic root of 148438080 is about 529.4786376528.

The spelling of 148438080 in words is "one hundred forty-eight million, four hundred thirty-eight thousand, eighty".