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148430880 = 2534513881
BaseRepresentation
bin10001101100011…
…10000000100000
3101100022001220000
420312032000200
5300444242010
622421220000
73451433043
oct1066160040
9340261800
10148430880
1176870354
1241861600
132499c930
14159dac5a
15d06e7c0
hex8d8e020

148430880 has 240 divisors, whose sum is σ = 564772824. Its totient is φ = 36495360.

The previous prime is 148430861. The next prime is 148430881. The reversal of 148430880 is 88034841.

148430880 is a `hidden beast` number, since 148 + 430 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 81649296 = 8172^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1484308802 = 44063452275148800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148430881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168040 + ... + 168920.

Almost surely, 2148430880 is an apocalyptic number.

148430880 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 148430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282386412).

148430880 is an abundant number, since it is smaller than the sum of its proper divisors (416341944).

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

148430880 is a wasteful number, since it uses less digits than its factorization.

148430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

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

The square root of 148430880 is about 12183.2212489144. The cubic root of 148430880 is about 529.4700767142.

The spelling of 148430880 in words is "one hundred forty-eight million, four hundred thirty thousand, eight hundred eighty".