Search a number
-
+
149146200 = 233252721989
BaseRepresentation
bin10001110001111…
…00101001011000
3101101122102010100
420320330221120
5301140134300
622444415400
73460502400
oct1070745130
9341572110
10149146200
1177209825
1241b47560
1324b903b8
1415b45800
15d161700
hex8e3ca58

149146200 has 432 divisors, whose sum is σ = 620217000. Its totient is φ = 31933440.

The previous prime is 149146171. The next prime is 149146211. The reversal of 149146200 is 2641941.

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 107 ways as a sum of consecutive naturals, for example, 1675756 + ... + 1675844.

Almost surely, 2149146200 is an apocalyptic number.

149146200 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 149146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310108500).

149146200 is an abundant number, since it is smaller than the sum of its proper divisors (471070800).

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

149146200 is a wasteful number, since it uses less digits than its factorization.

149146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 149146200 is about 12212.5427327809. The cubic root of 149146200 is about 530.3192570388.

The spelling of 149146200 in words is "one hundred forty-nine million, one hundred forty-six thousand, two hundred".