Search a number
-
+
1131154040 = 235311098369
BaseRepresentation
bin100001101101100…
…0000101001111000
32220211110120122002
41003123000221320
54304033412130
6304124320132
740013436122
oct10333005170
92824416562
101131154040
11530563855
122769a3048
1315046b023
14aa32c212
156948bb45
hex436c0a78

1131154040 has 64 divisors (see below), whose sum is σ = 2651616000. Its totient is φ = 433797120.

The previous prime is 1131154027. The next prime is 1131154051. The reversal of 1131154040 is 404511311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130976 + ... + 139344.

It is an arithmetic number, because the mean of its divisors is an integer number (41431500).

Almost surely, 21131154040 is an apocalyptic number.

1131154040 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 1131154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325808000).

1131154040 is an abundant number, since it is smaller than the sum of its proper divisors (1520461960).

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

1131154040 is a wasteful number, since it uses less digits than its factorization.

1131154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1131154040 is about 33632.6335573056. The cubic root of 1131154040 is about 1041.9348964572.

Adding to 1131154040 its reverse (404511311), we get a palindrome (1535665351).

The spelling of 1131154040 in words is "one billion, one hundred thirty-one million, one hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 1090 1240 2180 3379 4360 6758 8369 13516 16738 16895 27032 33476 33790 41845 66952 67580 83690 135160 167380 259439 334760 518878 912221 1037756 1297195 1824442 2075512 2594390 3648884 4561105 5188780 7297768 9122210 10377560 18244420 28278851 36488840 56557702 113115404 141394255 226230808 282788510 565577020 1131154040