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149990880 = 2535132432
BaseRepresentation
bin10001111000010…
…10110111100000
3101110020022210210
420330022313200
5301344202010
622514454120
73500621124
oct1074126740
9343208723
10149990880
1177736406
1242294340
13250c7a00
1415cc5584
15d27bb20
hex8f0ade0

149990880 has 216 divisors, whose sum is σ = 523785528. Its totient is φ = 36062208.

The previous prime is 149990873. The next prime is 149990941. The reversal of 149990880 is 88099941.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 35 ways as a sum of consecutive naturals, for example, 3488139 + ... + 3488181.

It is an arithmetic number, because the mean of its divisors is an integer number (2424933).

Almost surely, 2149990880 is an apocalyptic number.

149990880 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 149990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261892764).

149990880 is an abundant number, since it is smaller than the sum of its proper divisors (373794648).

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

149990880 is a wasteful number, since it uses less digits than its factorization.

149990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 149990880 is about 12247.0763858155. The cubic root of 149990880 is about 531.3185160996.

The spelling of 149990880 in words is "one hundred forty-nine million, nine hundred ninety thousand, eight hundred eighty".