Search a number
-
+
1132311040 = 2957179353
BaseRepresentation
bin100001101111101…
…1011001000000000
32220220122100201221
41003133123020000
54304332423130
6304205204424
740026325240
oct10337331000
92826570657
101132311040
11531184053
12277260714
13150784843
14aa54db20
156961987a
hex437db200

1132311040 has 160 divisors (see below), whose sum is σ = 3128906880. Its totient is φ = 384958464.

The previous prime is 1132311031. The next prime is 1132311073. The reversal of 1132311040 is 401132311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 3207504 + ... + 3207856.

It is an arithmetic number, because the mean of its divisors is an integer number (19555668).

Almost surely, 21132311040 is an apocalyptic number.

1132311040 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 1132311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564453440).

1132311040 is an abundant number, since it is smaller than the sum of its proper divisors (1996595840).

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

1132311040 is an equidigital number, since it uses as much as digits as its factorization.

1132311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1132311040 is about 33649.8297172512. The cubic root of 1132311040 is about 1042.2900228280.

Adding to 1132311040 its reverse (401132311), we get a palindrome (1533443351).

The spelling of 1132311040 in words is "one billion, one hundred thirty-two million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 179 224 256 280 320 353 358 448 512 560 640 706 716 895 896 1120 1253 1280 1412 1432 1765 1790 1792 2240 2471 2506 2560 2824 2864 3530 3580 3584 4480 4942 5012 5648 5728 6265 7060 7160 8960 9884 10024 11296 11456 12355 12530 14120 14320 17920 19768 20048 22592 22912 24710 25060 28240 28640 39536 40096 45184 45824 49420 50120 56480 57280 63187 79072 80192 90368 91648 98840 100240 112960 114560 126374 158144 160384 180736 197680 200480 225920 229120 252748 315935 316288 320768 395360 400960 442309 451840 458240 505496 631870 632576 641536 790720 801920 884618 903680 1010992 1263740 1265152 1581440 1603840 1769236 2021984 2211545 2527480 3162880 3207680 3538472 4043968 4423090 5054960 6325760 7076944 8087936 8846180 10109920 14153888 16175872 17692360 20219840 28307776 32351744 35384720 40439680 56615552 70769440 80879360 113231104 141538880 161758720 226462208 283077760 566155520 1132311040