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149939280 = 243252943167
BaseRepresentation
bin10001110111111…
…10010001010000
3101110010201000200
420323332101100
5301341024110
622513415200
73500314521
oct1073762120
9343121020
10149939280
1177700667
124226a500
13250aa38a
1415cb0848
15d26b6c0
hex8efe450

149939280 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 37481472.

The previous prime is 149939267. The next prime is 149939287. The reversal of 149939280 is 82939941.

149939280 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 (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149939287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897757 + ... + 897923.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2149939280 is an apocalyptic number.

149939280 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 149939280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

149939280 is an abundant number, since it is smaller than the sum of its proper divisors (386276400).

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

149939280 is a wasteful number, since it uses less digits than its factorization.

149939280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 149939280 is about 12244.9695793824. The cubic root of 149939280 is about 531.2575808837.

The spelling of 149939280 in words is "one hundred forty-nine million, nine hundred thirty-nine thousand, two hundred eighty".