Search a number
-
+
1040125000 = 235653157
BaseRepresentation
bin111101111111110…
…000110001001000
32200111011211021011
4331333300301020
54112233000000
6251113253304
734526626255
oct7577606110
92614154234
101040125000
1149413a342
12250404234
131376488a5
149c1d442c
15614aa2ba
hex3dff0c48

1040125000 has 112 divisors (see below), whose sum is σ = 2499577380. Its totient is φ = 405600000.

The previous prime is 1040124997. The next prime is 1040125001. The reversal of 1040125000 is 5210401.

It can be written as a sum of positive squares in 14 ways, for example, as 905889604 + 134235396 = 30098^2 + 11586^2 .

It is not an unprimeable number, because it can be changed into a prime (1040125001) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 6624922 + ... + 6625078.

Almost surely, 21040125000 is an apocalyptic number.

1040125000 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 1040125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249788690).

1040125000 is an abundant number, since it is smaller than the sum of its proper divisors (1459452380).

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

1040125000 is an frugal number, since it uses more digits than its factorization.

1040125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1040125000 is about 32250.9689776912. The cubic root of 1040125000 is about 1013.1999935163.

Adding to 1040125000 its reverse (5210401), we get a palindrome (1045335401).

The spelling of 1040125000 in words is "one billion, forty million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 157 200 212 250 265 314 424 500 530 625 628 785 1000 1060 1250 1256 1325 1570 2120 2500 2650 3125 3140 3925 5000 5300 6250 6280 6625 7850 8321 10600 12500 13250 15625 15700 16642 19625 25000 26500 31250 31400 33125 33284 39250 41605 53000 62500 66250 66568 78500 83210 98125 125000 132500 157000 165625 166420 196250 208025 265000 331250 332840 392500 416050 490625 662500 785000 828125 832100 981250 1040125 1325000 1656250 1664200 1962500 2080250 2453125 3312500 3925000 4160500 4906250 5200625 6625000 8321000 9812500 10401250 19625000 20802500 26003125 41605000 52006250 104012500 130015625 208025000 260031250 520062500 1040125000