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149887080 = 233257229293
BaseRepresentation
bin10001110111100…
…01100001101000
3101110001001102100
420323301201220
5301332341310
622512333400
73500006400
oct1073614150
9343031370
10149887080
1177675422
1242244260
132508c6a5
1415c99800
15d25aec0
hex8ef1868

149887080 has 288 divisors, whose sum is σ = 588205800. Its totient is φ = 32965632.

The previous prime is 149887063. The next prime is 149887091. The reversal of 149887080 is 80788941.

149887080 is a `hidden beast` number, since 1 + 498 + 87 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145298916 + 4588164 = 12054^2 + 2142^2 .

It is a super-2 number, since 2×1498870802 = 44932273501852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 511414 + ... + 511706.

Almost surely, 2149887080 is an apocalyptic number.

149887080 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 149887080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294102900).

149887080 is an abundant number, since it is smaller than the sum of its proper divisors (438318720).

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

149887080 is a wasteful number, since it uses less digits than its factorization.

149887080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 149887080 is about 12242.8379063026. The cubic root of 149887080 is about 531.1959228923.

The spelling of 149887080 in words is "one hundred forty-nine million, eight hundred eighty-seven thousand, eighty".