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148064 = 257661
BaseRepresentation
bin100100001001100000
321112002212
4210021200
514214224
63101252
71154450
oct441140
9245085
10148064
11a1274
1271828
1352517
143bd60
152dd0e
hex24260

148064 has 24 divisors (see below), whose sum is σ = 333648. Its totient is φ = 63360.

The previous prime is 148063. The next prime is 148073. The reversal of 148064 is 460841.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148064.

It is not an unprimeable number, because it can be changed into a prime (148061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (13902).

2148064 is an apocalyptic number.

148064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

148064 is an abundant number, since it is smaller than the sum of its proper divisors (185584).

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

148064 is an equidigital number, since it uses as much as digits as its factorization.

148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 148064 is about 384.7908522821. The cubic root of 148064 is about 52.9033482371.

It can be divided in two parts, 14 and 8064, that multiplied together give a square (112896 = 3362).

The spelling of 148064 in words is "one hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 661 1322 2644 4627 5288 9254 10576 18508 21152 37016 74032 148064