Search a number
-
+
1007130415 = 52913675081
BaseRepresentation
bin111100000001111…
…001011100101111
32121012002112012111
4330001321130233
54030311133130
6243534144451
733646316164
oct7401713457
92535075174
101007130415
11477553a95
12241352127
13130865875
1497a8606b
155d63e02a
hex3c07972f

1007130415 has 16 divisors (see below), whose sum is σ = 1251391680. Its totient is φ = 777199360.

The previous prime is 1007130409. The next prime is 1007130419. The reversal of 1007130415 is 5140317001.

It is not a de Polignac number, because 1007130415 - 213 = 1007122223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007130419) 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 15 ways as a sum of consecutive naturals, for example, 195675 + ... + 200755.

It is an arithmetic number, because the mean of its divisors is an integer number (78211980).

Almost surely, 21007130415 is an apocalyptic number.

1007130415 is a deficient number, since it is larger than the sum of its proper divisors (244261265).

1007130415 is a wasteful number, since it uses less digits than its factorization.

1007130415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1007130415 is about 31735.3181014465. The cubic root of 1007130415 is about 1002.3711780706.

Adding to 1007130415 its reverse (5140317001), we get a palindrome (6147447416).

The spelling of 1007130415 in words is "one billion, seven million, one hundred thirty thousand, four hundred fifteen".

Divisors: 1 5 29 145 1367 5081 6835 25405 39643 147349 198215 736745 6945727 34728635 201426083 1007130415