Search a number
-
+
149490000 = 24325411151
BaseRepresentation
bin10001110100100…
…00100101010000
3101102021212201200
420322100211100
5301232140000
622500031200
73463433622
oct1072204520
9342255650
10149490000
1177424060
1242092500
1324c80a2a
1415bd4c12
15d1cd500
hex8e90950

149490000 has 300 divisors, whose sum is σ = 574091232. Its totient is φ = 36000000.

The previous prime is 149489981. The next prime is 149490001. The reversal of 149490000 is 94941.

149490000 is digitally balanced in base 3, 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 (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149490001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989925 + ... + 990075.

Almost surely, 2149490000 is an apocalyptic number.

149490000 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 149490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287045616).

149490000 is an abundant number, since it is smaller than the sum of its proper divisors (424601232).

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

149490000 is a wasteful number, since it uses less digits than its factorization.

149490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 149490000 is about 12226.6103233889. The cubic root of 149490000 is about 530.7264276471.

The spelling of 149490000 in words is "one hundred forty-nine million, four hundred ninety thousand".