Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1530900000 = 2537557
BaseRepresentation
bin101101100111111…
…1010111000100000
310221200122210000000
41123033322320200
511113402300000
6411524300000
752636302210
oct13317727040
93850583000
101530900000
11716175913
12368841600
131b5220ab6
14107468240
158e600000
hex5b3fae20

1530900000 has 576 divisors, whose sum is σ = 6457086720. Its totient is φ = 349920000.

The previous prime is 1530899989. The next prime is 1530900011. The reversal of 1530900000 is 90351.

It is an interprime number because it is at equal distance from previous prime (1530899989) and next prime (1530900011).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218699997 + ... + 218700003.

It is an arithmetic number, because the mean of its divisors is an integer number (11210220).

Almost surely, 21530900000 is an apocalyptic number.

1530900000 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 1530900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228543360).

1530900000 is an abundant number, since it is smaller than the sum of its proper divisors (4926186720).

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

1530900000 is an frugal number, since it uses more digits than its factorization.

1530900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1530900000 is about 39126.7172147115. The cubic root of 1530900000 is about 1152.5212484887.

Adding to 1530900000 its reverse (90351), we get a palindrome (1530990351).

The spelling of 1530900000 in words is "one billion, five hundred thirty million, nine hundred thousand".