Search a number
-
+
148830000 = 2435411241
BaseRepresentation
bin10001101111011…
…11011100110000
3101101001100101020
420313233130300
5301100030000
622433535440
73455014464
oct1067573460
9341040336
10148830000
1177013200
1241a14580
1324aac4b7
1415aa24a4
15d0ecba0
hex8def730

148830000 has 300 divisors, whose sum is σ = 540970584. Its totient is φ = 35200000.

The previous prime is 148829999. The next prime is 148830007. The reversal of 148830000 is 38841.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (148830007) 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, 3629980 + ... + 3630020.

Almost surely, 2148830000 is an apocalyptic number.

148830000 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 148830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270485292).

148830000 is an abundant number, since it is smaller than the sum of its proper divisors (392140584).

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

148830000 is a wasteful number, since it uses less digits than its factorization.

148830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 148830000 is about 12199.5901570504. The cubic root of 148830000 is about 529.9442210196.

Adding to 148830000 its reverse (38841), we get a palindrome (148868841).

The spelling of 148830000 in words is "one hundred forty-eight million, eight hundred thirty thousand".