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148605840 = 24345171971
BaseRepresentation
bin10001101101110…
…00101110010000
3101100121221220000
420312320232100
5301020341330
622425050000
73453062115
oct1066705620
9340557800
10148605840
117697a849
1241926900
1324a31466
1415a4490c
15d0a6560
hex8db8b90

148605840 has 400 divisors, whose sum is σ = 583355520. Its totient is φ = 34836480.

The previous prime is 148605839. The next prime is 148605851. The reversal of 148605840 is 48506841.

148605840 is a `hidden beast` number, since 1 + 4 + 8 + 605 + 8 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 148605795 and 148605804.

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 79 ways as a sum of consecutive naturals, for example, 2093005 + ... + 2093075.

Almost surely, 2148605840 is an apocalyptic number.

148605840 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 148605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

148605840 is an abundant number, since it is smaller than the sum of its proper divisors (434749680).

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

148605840 is a wasteful number, since it uses less digits than its factorization.

148605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

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

The square root of 148605840 is about 12190.3995012469. The cubic root of 148605840 is about 529.6780291987.

The spelling of 148605840 in words is "one hundred forty-eight million, six hundred five thousand, eight hundred forty".