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149441760 = 2534513887
BaseRepresentation
bin10001110100001…
…00110011100000
3101102012102120000
420322010303200
5301224114020
622455020000
73463143156
oct1072046340
9342172500
10149441760
11773a0896
124206a600
1324c64aa0
1415bc13d6
15d1be090
hex8e84ce0

149441760 has 240 divisors, whose sum is σ = 568614816. Its totient is φ = 36744192.

The previous prime is 149441737. The next prime is 149441791. The reversal of 149441760 is 67144941.

149441760 is a `hidden beast` number, since 149 + 441 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168037 + ... + 168923.

Almost surely, 2149441760 is an apocalyptic number.

149441760 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 149441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284307408).

149441760 is an abundant number, since it is smaller than the sum of its proper divisors (419173056).

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

149441760 is a wasteful number, since it uses less digits than its factorization.

149441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149441760 is about 12224.6374179360. The cubic root of 149441760 is about 530.6693335332.

The spelling of 149441760 in words is "one hundred forty-nine million, four hundred forty-one thousand, seven hundred sixty".