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148508640 = 2534571637
BaseRepresentation
bin10001101101000…
…00111111100000
3101100110000120000
420312200333200
5301004234030
622423020000
73452205540
oct1066407740
9340400500
10148508640
1176913815
124189a600
13249c9147
1415a1b320
15d087860
hex8da0fe0

148508640 has 240 divisors, whose sum is σ = 599350752. Its totient is φ = 33924096.

The previous prime is 148508629. The next prime is 148508653. The reversal of 148508640 is 46805841.

148508640 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 0 + 8 + 640 = 666.

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

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 = 148508595 and 148508604.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 89902 + ... + 91538.

Almost surely, 2148508640 is an apocalyptic number.

148508640 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 148508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299675376).

148508640 is an abundant number, since it is smaller than the sum of its proper divisors (450842112).

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

148508640 is a wasteful number, since it uses less digits than its factorization.

148508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 148508640 is about 12186.4121052917. The cubic root of 148508640 is about 529.5625202040.

The spelling of 148508640 in words is "one hundred forty-eight million, five hundred eight thousand, six hundred forty".