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148681440 = 25335127271
BaseRepresentation
bin10001101110010…
…11001011100000
3101100202210121000
420313023023200
5301030301230
622430432000
73453525405
oct1067131340
9340683530
10148681440
1176a21626
1241962600
1324a599ab
1415a642ac
15d0bdb60
hex8dcb2e0

148681440 has 192 divisors, whose sum is σ = 526417920. Its totient is φ = 39191040.

The previous prime is 148681433. The next prime is 148681447. The reversal of 148681440 is 44186841.

It is an interprime number because it is at equal distance from previous prime (148681433) and next prime (148681447).

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 = 148681395 and 148681404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148681447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548505 + ... + 548775.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 2148681440 is an apocalyptic number.

148681440 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 148681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960).

148681440 is an abundant number, since it is smaller than the sum of its proper divisors (377736480).

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

148681440 is a wasteful number, since it uses less digits than its factorization.

148681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

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

The square root of 148681440 is about 12193.4999077377. The cubic root of 148681440 is about 529.7678347103.

The spelling of 148681440 in words is "one hundred forty-eight million, six hundred eighty-one thousand, four hundred forty".