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148420 = 22541181
BaseRepresentation
bin100100001111000100
321112121001
4210033010
514222140
63103044
71155466
oct441704
9245531
10148420
11a1568
1271a84
135272c
143c136
152de9a
hex243c4

148420 has 24 divisors (see below), whose sum is σ = 321048. Its totient is φ = 57600.

The previous prime is 148411. The next prime is 148429. The reversal of 148420 is 24841.

It is an interprime number because it is at equal distance from previous prime (148411) and next prime (148429).

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 135424 = 114^2 + 368^2 .

It is not an unprimeable number, because it can be changed into a prime (148429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2148420 is an apocalyptic number.

148420 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 148420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524).

148420 is an abundant number, since it is smaller than the sum of its proper divisors (172628).

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

148420 is a wasteful number, since it uses less digits than its factorization.

148420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 148420 is about 385.2531635172. The cubic root of 148420 is about 52.9457139660.

The spelling of 148420 in words is "one hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 181 205 362 410 724 820 905 1810 3620 7421 14842 29684 37105 74210 148420