Search a number
-
+
149476200 = 23352249127
BaseRepresentation
bin10001110100011…
…01001101101000
3101102021011210120
420322031031220
5301231214300
622455443240
73463345446
oct1072151550
9342234716
10149476200
1177414755
1242086520
1324c77673
1415bcdb96
15d1c93a0
hex8e8d368

149476200 has 48 divisors (see below), whose sum is σ = 463378080. Its totient is φ = 39860160.

The previous prime is 149476199. The next prime is 149476207. The reversal of 149476200 is 2674941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (149476207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 123964 + ... + 125163.

It is an arithmetic number, because the mean of its divisors is an integer number (9653710).

Almost surely, 2149476200 is an apocalyptic number.

149476200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149476200 is an abundant number, since it is smaller than the sum of its proper divisors (313901880).

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

149476200 is a wasteful number, since it uses less digits than its factorization.

149476200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249146 (or 249137 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 149476200 is about 12226.0459675236. The cubic root of 149476200 is about 530.7100960083.

The spelling of 149476200 in words is "one hundred forty-nine million, four hundred seventy-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 249127 498254 747381 996508 1245635 1494762 1993016 2491270 2989524 3736905 4982540 5979048 6228175 7473810 9965080 12456350 14947620 18684525 24912700 29895240 37369050 49825400 74738100 149476200