Search a number
-
+
154530000 = 24325417101
BaseRepresentation
bin10010011010111…
…11000011010000
3101202202221022100
421031133003100
5304024430000
623200040400
73554324532
oct1115370320
9352687270
10154530000
117a256749
1243903100
1326026a91
1416747852
15d876a00
hex935f0d0

154530000 has 300 divisors, whose sum is σ = 577868148. Its totient is φ = 38400000.

The previous prime is 154529993. The next prime is 154530037. The reversal of 154530000 is 35451.

It can be written as a sum of positive squares in 10 ways, for example, as 53406864 + 101123136 = 7308^2 + 10056^2 .

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529950 + ... + 1530050.

Almost surely, 2154530000 is an apocalyptic number.

154530000 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 154530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288934074).

154530000 is an abundant number, since it is smaller than the sum of its proper divisors (423338148).

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

154530000 is a wasteful number, since it uses less digits than its factorization.

154530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 154530000 is about 12431.0096130604. The cubic root of 154530000 is about 536.6250412442.

Adding to 154530000 its reverse (35451), we get a palindrome (154565451).

The spelling of 154530000 in words is "one hundred fifty-four million, five hundred thirty thousand".