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149193000 = 233253112137
BaseRepresentation
bin10001110010010…
…00000100101000
3101101201210022200
420321020010220
5301143134000
622445420200
73461056005
oct1071100450
9341653280
10149193000
1177240a00
1241b6a660
1324ba87a8
1415b588ac
15d170500
hex8e48128

149193000 has 288 divisors, whose sum is σ = 558328680. Its totient is φ = 35904000.

The previous prime is 149192999. The next prime is 149193029. The reversal of 149193000 is 391941.

It can be written as a sum of positive squares in 4 ways, for example, as 49871844 + 99321156 = 7062^2 + 9966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1088932 + ... + 1089068.

Almost surely, 2149193000 is an apocalyptic number.

149193000 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 149193000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279164340).

149193000 is an abundant number, since it is smaller than the sum of its proper divisors (409135680).

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

149193000 is a wasteful number, since it uses less digits than its factorization.

149193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 149193000 is about 12214.4586453924. The cubic root of 149193000 is about 530.3747201699.

The spelling of 149193000 in words is "one hundred forty-nine million, one hundred ninety-three thousand".