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149280516 = 223371129619
BaseRepresentation
bin10001110010111…
…01011100000100
3101101220020101000
420321131130010
5301203434031
622451333300
73461602110
oct1071353404
9341806330
10149280516
11772a0730
1241bb1230
1324c09588
1415b7c740
15d18b3e6
hex8e5d704

149280516 has 192 divisors, whose sum is σ = 499968000. Its totient is φ = 37376640.

The previous prime is 149280497. The next prime is 149280529. The reversal of 149280516 is 615082941.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240855 + ... + 241473.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2149280516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149280516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

149280516 is an abundant number, since it is smaller than the sum of its proper divisors (350687484).

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

149280516 is a wasteful number, since it uses less digits than its factorization.

149280516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 149280516 is about 12218.0405957748. The cubic root of 149280516 is about 530.4784051085.

The spelling of 149280516 in words is "one hundred forty-nine million, two hundred eighty thousand, five hundred sixteen".