Search a number
-
+
1140323120 = 245109251521
BaseRepresentation
bin100001111110111…
…1111001100110000
32221110201102020122
41003331333030300
54313410314440
6305053025412
740154405126
oct10375771460
92843642218
101140323120
11535756702
12279a85268
1315232b611
14ab637916
156a19d7b5
hex43f7f330

1140323120 has 80 divisors (see below), whose sum is σ = 2691390240. Its totient is φ = 449280000.

The previous prime is 1140323101. The next prime is 1140323131. The reversal of 1140323120 is 213230411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2188460 + ... + 2188980.

It is an arithmetic number, because the mean of its divisors is an integer number (33642378).

Almost surely, 21140323120 is an apocalyptic number.

1140323120 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 1140323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345695120).

1140323120 is an abundant number, since it is smaller than the sum of its proper divisors (1551067120).

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

1140323120 is a wasteful number, since it uses less digits than its factorization.

1140323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1140323120 is about 33768.6706874878. The cubic root of 1140323120 is about 1044.7426149684.

Adding to 1140323120 its reverse (213230411), we get a palindrome (1353553531).

The spelling of 1140323120 in words is "one billion, one hundred forty million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 251 436 502 521 545 872 1004 1042 1090 1255 1744 2008 2084 2180 2510 2605 4016 4168 4360 5020 5210 8336 8720 10040 10420 20080 20840 27359 41680 54718 56789 109436 113578 130771 136795 218872 227156 261542 273590 283945 437744 454312 523084 547180 567890 653855 908624 1046168 1094360 1135780 1307710 2092336 2188720 2271560 2615420 4543120 5230840 10461680 14254039 28508078 57016156 71270195 114032312 142540390 228064624 285080780 570161560 1140323120