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148480 = 210529
BaseRepresentation
bin100100010000000000
321112200021
4210100000
514222410
63103224
71155613
oct442000
9245607
10148480
11a1612
1271b14
1352777
143c17a
152deda
hex24400

148480 has 44 divisors (see below), whose sum is σ = 368460. Its totient is φ = 57344.

The previous prime is 148471. The next prime is 148483. The reversal of 148480 is 84841.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 82944 = 256^2 + 288^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5106 + ... + 5134.

2148480 is an apocalyptic number.

148480 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 148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184230).

148480 is an abundant number, since it is smaller than the sum of its proper divisors (219980).

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

148480 is an equidigital number, since it uses as much as digits as its factorization.

148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 148480 is about 385.3310265214. The cubic root of 148480 is about 52.9528475842.

Subtracting from 148480 its product of nonzero digits (1024), we obtain a square (147456 = 3842).

The spelling of 148480 in words is "one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 7424 9280 14848 18560 29696 37120 74240 148480