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148016160 = 2539547
BaseRepresentation
bin10001101001010…
…00110000100000
3101022112000000000
420310220300200
5300343004120
622404300000
73445054665
oct1064506040
9338460000
10148016160
1176607806
12416a1600
1324885c36
141592da6c
15cedb990
hex8d28c20

148016160 has 240 divisors, whose sum is σ = 535683456. Its totient is φ = 38631168.

The previous prime is 148016123. The next prime is 148016171. The reversal of 148016160 is 61610841.

148016160 is a `hidden beast` number, since 1 + 48 + 0 + 1 + 616 + 0 = 666.

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

It is a super-2 number, since 2×1480161602 = 43817567242291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3149257 + ... + 3149303.

Almost surely, 2148016160 is an apocalyptic number.

148016160 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 148016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267841728).

148016160 is an abundant number, since it is smaller than the sum of its proper divisors (387667296).

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

148016160 is an frugal number, since it uses more digits than its factorization.

148016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 148016160 is about 12166.1892143760. The cubic root of 148016160 is about 528.9764987064.

The spelling of 148016160 in words is "one hundred forty-eight million, sixteen thousand, one hundred sixty".