Search a number
-
+
148071200 = 2552185089
BaseRepresentation
bin10001101001101…
…10001100100000
3101022121210111112
420310312030200
5300401234300
622405402452
73445404314
oct1064661440
9338553445
10148071200
11766450a2
1241709428
13248a4cc4
1415945b44
15ceece35
hex8d36320

148071200 has 36 divisors (see below), whose sum is σ = 361480770. Its totient is φ = 59228160.

The previous prime is 148071167. The next prime is 148071211. The reversal of 148071200 is 2170841.

It can be written as a sum of positive squares in 3 ways, for example, as 100240144 + 47831056 = 10012^2 + 6916^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91745 + ... + 93344.

Almost surely, 2148071200 is an apocalyptic number.

148071200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148071200 is an abundant number, since it is smaller than the sum of its proper divisors (213409570).

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

148071200 is a wasteful number, since it uses less digits than its factorization.

148071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185109 (or 185096 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 148071200 is about 12168.4510107080. The cubic root of 148071200 is about 529.0420574455.

The spelling of 148071200 in words is "one hundred forty-eight million, seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 185089 370178 740356 925445 1480712 1850890 2961424 3701780 4627225 5922848 7403560 9254450 14807120 18508900 29614240 37017800 74035600 148071200