Search a number
-
+
1040142136 = 231124324989
BaseRepresentation
bin111101111111110…
…100111100111000
32200111012200202211
4331333310330320
54112234022021
6251113504504
734530030235
oct7577647470
92614180684
101040142136
11494151200
12250412134
13137653627
149c1da78c
15614b03e1
hex3dff4f38

1040142136 has 48 divisors (see below), whose sum is σ = 2193622200. Its totient is φ = 461778240.

The previous prime is 1040142121. The next prime is 1040142167. The reversal of 1040142136 is 6312410401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29130 + ... + 54118.

Almost surely, 21040142136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040142136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096811100).

1040142136 is an abundant number, since it is smaller than the sum of its proper divisors (1153480064).

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

1040142136 is a wasteful number, since it uses less digits than its factorization.

1040142136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25060 (or 25045 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1040142136 is about 32251.2346430334. The cubic root of 1040142136 is about 1013.2055576231.

Adding to 1040142136 its reverse (6312410401), we get a palindrome (7352552537).

The spelling of 1040142136 in words is "one billion, forty million, one hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1892 3784 5203 10406 20812 24989 41624 49978 99956 199912 274879 549758 1074527 1099516 2149054 2199032 3023669 4298108 6047338 8596216 11819797 12094676 23639594 24189352 47279188 94558376 130017767 260035534 520071068 1040142136