Search a number
-
+
1140440340 = 2235137120593
BaseRepresentation
bin100001111111001…
…1011110100010100
32221110221101001010
41003332123310110
54313423042330
6305055332220
740155403644
oct10376336424
92843841033
101140440340
11535826786
12279b21070
1315236ca90
14ab668524
156a1c33b0
hex43f9bd14

1140440340 has 96 divisors (see below), whose sum is σ = 3487470336. Its totient is φ = 276756480.

The previous prime is 1140440321. The next prime is 1140440351. The reversal of 1140440340 is 430440411.

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 31 ways as a sum of consecutive naturals, for example, 45084 + ... + 65676.

It is an arithmetic number, because the mean of its divisors is an integer number (36327816).

Almost surely, 21140440340 is an apocalyptic number.

1140440340 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 1140440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743735168).

1140440340 is an abundant number, since it is smaller than the sum of its proper divisors (2347029996).

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

1140440340 is a wasteful number, since it uses less digits than its factorization.

1140440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689 (or 20687 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1140440340 is about 33770.4062753174. The cubic root of 1140440340 is about 1044.7784119956.

Adding to 1140440340 its reverse (430440411), we get a palindrome (1570880751).

The spelling of 1140440340 in words is "one billion, one hundred forty million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3692 4260 4615 5538 9230 11076 13845 18460 20593 27690 41186 55380 61779 82372 102965 123558 205930 247116 267709 308895 411860 535418 617790 803127 1070836 1235580 1338545 1462103 1606254 2677090 2924206 3212508 4015635 4386309 5354180 5848412 7310515 8031270 8772618 14621030 16062540 17545236 19007339 21931545 29242060 38014678 43863090 57022017 76029356 87726180 95036695 114044034 190073390 228088068 285110085 380146780 570220170 1140440340