Search a number
-
+
1530873000 = 23335331259
BaseRepresentation
bin101101100111111…
…0100010010101000
310221200121101222000
41123033310102220
511113400414000
6411523531000
752636130406
oct13317642250
93850541860
101530873000
117161575a8
12368829a60
131b5211717
1410745c476
158e5e7000
hex5b3f44a8

1530873000 has 384 divisors, whose sum is σ = 5576688000. Its totient is φ = 388368000.

The previous prime is 1530872989. The next prime is 1530873007. The reversal of 1530873000 is 3780351.

1530873000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530873007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25946971 + ... + 25947029.

It is an arithmetic number, because the mean of its divisors is an integer number (14522625).

Almost surely, 21530873000 is an apocalyptic number.

1530873000 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 1530873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788344000).

1530873000 is an abundant number, since it is smaller than the sum of its proper divisors (4045815000).

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

1530873000 is a wasteful number, since it uses less digits than its factorization.

1530873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1530873000 is about 39126.3721804105. The cubic root of 1530873000 is about 1152.5144728978.

The spelling of 1530873000 in words is "one billion, five hundred thirty million, eight hundred seventy-three thousand".