Search a number
-
+
148085200 = 2452370213
BaseRepresentation
bin10001101001110…
…01100111010000
3101022122111201001
420310321213100
5300402211300
622405551344
73445463164
oct1064714720
9338574631
10148085200
117665466a
1241715554
13248ab4a3
141594aca4
15d00216a
hex8d399d0

148085200 has 30 divisors (see below), whose sum is σ = 355775654. Its totient is φ = 59233920.

The previous prime is 148085191. The next prime is 148085213. The reversal of 148085200 is 2580841.

It can be written as a sum of positive squares in 3 ways, for example, as 43718544 + 104366656 = 6612^2 + 10216^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 184707 + ... + 185506.

Almost surely, 2148085200 is an apocalyptic number.

148085200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148085200 is an abundant number, since it is smaller than the sum of its proper divisors (207690454).

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

148085200 is a wasteful number, since it uses less digits than its factorization.

148085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370231 (or 370220 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 148085200 is about 12169.0262552104. The cubic root of 148085200 is about 529.0587304050.

The spelling of 148085200 in words is "one hundred forty-eight million, eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 370213 740426 1480852 1851065 2961704 3702130 5923408 7404260 9255325 14808520 18510650 29617040 37021300 74042600 148085200