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149193360 = 24335172239
BaseRepresentation
bin10001110010010…
…00001010010000
3101101201210211000
420321020022100
5301143141420
622445422000
73461060031
oct1071101220
9341653730
10149193360
11772411a8
1241b6a900
1324ba89c4
1415b58a88
15d170690
hex8e48290

149193360 has 240 divisors, whose sum is σ = 548179200. Its totient is φ = 37287936.

The previous prime is 149193349. The next prime is 149193379. The reversal of 149193360 is 63391941.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624121 + ... + 624359.

It is an arithmetic number, because the mean of its divisors is an integer number (2284080).

Almost surely, 2149193360 is an apocalyptic number.

149193360 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 149193360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274089600).

149193360 is an abundant number, since it is smaller than the sum of its proper divisors (398985840).

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

149193360 is a wasteful number, since it uses less digits than its factorization.

149193360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 149193360 is about 12214.4733820169. The cubic root of 149193360 is about 530.3751467645.

The spelling of 149193360 in words is "one hundred forty-nine million, one hundred ninety-three thousand, three hundred sixty".