Search a number
-
+
1004315000 = 23541315451
BaseRepresentation
bin111011110111001…
…010000101111000
32120222210111011212
4323313022011320
54024101040000
6243353542252
733613352033
oct7367120570
92528714155
101004315000
11475a007a7
12240414988
131300bb240
149755201a
155d284c35
hex3bdca178

1004315000 has 80 divisors (see below), whose sum is σ = 2534282520. Its totient is φ = 370800000.

The previous prime is 1004314999. The next prime is 1004315021. The reversal of 1004315000 is 5134001.

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 19 ways as a sum of consecutive naturals, for example, 57275 + ... + 72725.

Almost surely, 21004315000 is an apocalyptic number.

1004315000 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 1004315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267141260).

1004315000 is an abundant number, since it is smaller than the sum of its proper divisors (1529967520).

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

1004315000 is a wasteful number, since it uses less digits than its factorization.

1004315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15471 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1004315000 is about 31690.9293016156. The cubic root of 1004315000 is about 1001.4362694757.

Adding to 1004315000 its reverse (5134001), we get a palindrome (1009449001).

The spelling of 1004315000 in words is "one billion, four million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 15451 16250 30902 32500 61804 65000 77255 123608 154510 200863 309020 386275 401726 618040 772550 803452 1004315 1545100 1606904 1931375 2008630 3090200 3862750 4017260 5021575 7725500 8034520 9656875 10043150 15451000 19313750 20086300 25107875 38627500 40172600 50215750 77255000 100431500 125539375 200863000 251078750 502157500 1004315000