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148070160 = 24335721399
BaseRepresentation
bin10001101001101…
…01111100010000
3101022121202002000
420310311330100
5300401221120
622405354000
73445401300
oct1064657420
9338552060
10148070160
1176644337
1241708900
13248a46a4
1415945600
15ceec990
hex8d35f10

148070160 has 240 divisors, whose sum is σ = 593712000. Its totient is φ = 33820416.

The previous prime is 148070123. The next prime is 148070203. The reversal of 148070160 is 61070841.

It is a happy number.

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 (27).

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 47 ways as a sum of consecutive naturals, for example, 105141 + ... + 106539.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2148070160 is an apocalyptic number.

148070160 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 148070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856000).

148070160 is an abundant number, since it is smaller than the sum of its proper divisors (445641840).

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

148070160 is a wasteful number, since it uses less digits than its factorization.

148070160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 148070160 is about 12168.4082771741. The cubic root of 148070160 is about 529.0408188408.

The spelling of 148070160 in words is "one hundred forty-eight million, seventy thousand, one hundred sixty".