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148400 = 2452753
BaseRepresentation
bin100100001110110000
321112120022
4210032300
514222100
63103012
71155440
oct441660
9245508
10148400
11a154a
1271a68
1352715
143c120
152de85
hex243b0

148400 has 60 divisors (see below), whose sum is σ = 415152. Its totient is φ = 49920.

The previous prime is 148399. The next prime is 148403. The reversal of 148400 is 4841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148403) 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 11 ways as a sum of consecutive naturals, for example, 2774 + ... + 2826.

2148400 is an apocalyptic number.

148400 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 148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207576).

148400 is an abundant number, since it is smaller than the sum of its proper divisors (266752).

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

148400 is a wasteful number, since it uses less digits than its factorization.

148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 148400 is about 385.2272056852. The cubic root of 148400 is about 52.9433356660.

The spelling of 148400 in words is "one hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 140 175 200 212 265 280 350 371 400 424 530 560 700 742 848 1060 1325 1400 1484 1855 2120 2650 2800 2968 3710 4240 5300 5936 7420 9275 10600 14840 18550 21200 29680 37100 74200 148400