Search a number
-
+
1530432100 = 2252179193443
BaseRepresentation
bin101101100111000…
…1000101001100100
310221122210000011101
41123032020221210
511113242311400
6411510245444
752632313111
oct13316105144
93848700141
101530432100
1171598631a
12368656884
131b50b8b32
14107385908
158e55b56a
hex5b388a64

1530432100 has 72 divisors (see below), whose sum is σ = 3364472160. Its totient is φ = 604231680.

The previous prime is 1530432047. The next prime is 1530432107. The reversal of 1530432100 is 12340351.

It is not an unprimeable number, because it can be changed into a prime (1530432107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3454479 + ... + 3454921.

It is an arithmetic number, because the mean of its divisors is an integer number (46728780).

Almost surely, 21530432100 is an apocalyptic number.

1530432100 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 1530432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682236080).

1530432100 is an abundant number, since it is smaller than the sum of its proper divisors (1834040060).

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

1530432100 is a wasteful number, since it uses less digits than its factorization.

1530432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1530432100 is about 39120.7374674865. The cubic root of 1530432100 is about 1152.4038187325.

Adding to 1530432100 its reverse (12340351), we get a palindrome (1542772451).

The spelling of 1530432100 in words is "one billion, five hundred thirty million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 193 358 386 443 716 772 886 895 965 1772 1790 1930 2215 3580 3860 4430 4475 4825 8860 8950 9650 11075 17900 19300 22150 34547 44300 69094 79297 85499 138188 158594 170998 172735 317188 341996 345470 396485 427495 690940 792970 854990 863675 1585940 1709980 1727350 1982425 2137475 3454700 3964850 4274950 7929700 8549900 15304321 30608642 61217284 76521605 153043210 306086420 382608025 765216050 1530432100