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149800896 = 2632753701
BaseRepresentation
bin10001110110111…
…00011111000000
3101102212200012100
420323130133000
5301322112041
622510430400
73466200210
oct1073343700
9342780170
10149800896
11776166a3
1242202400
132505c3ab
1415c76240
15d2406b6
hex8edc7c0

149800896 has 168 divisors, whose sum is σ = 500688864. Its totient is φ = 41932800.

The previous prime is 149800879. The next prime is 149800907. The reversal of 149800896 is 698008941.

149800896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213346 + ... + 214046.

Almost surely, 2149800896 is an apocalyptic number.

149800896 is a gapful number since it is divisible by the number (16) 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 149800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250344432).

149800896 is an abundant number, since it is smaller than the sum of its proper divisors (350887968).

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

149800896 is a wasteful number, since it uses less digits than its factorization.

149800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 149800896 is about 12239.3176280379. The cubic root of 149800896 is about 531.0940920858.

The spelling of 149800896 in words is "one hundred forty-nine million, eight hundred thousand, eight hundred ninety-six".