Search a number
-
+
1366113320 = 2351113241991
BaseRepresentation
bin101000101101101…
…0011110000101000
310112012120202011122
41101123103300220
510244211111240
6343320314412
745565525445
oct12133236050
93465522148
101366113320
11641154180
12321612a08
1318a0456a0
14cd6109cc
157edee4b5
hex516d3c28

1366113320 has 128 divisors (see below), whose sum is σ = 3629767680. Its totient is φ = 456192000.

The previous prime is 1366113289. The next prime is 1366113323. The reversal of 1366113320 is 233116631.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1366113320.

It is not an unprimeable number, because it can be changed into a prime (1366113323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378025 + ... + 1379015.

It is an arithmetic number, because the mean of its divisors is an integer number (28357560).

Almost surely, 21366113320 is an apocalyptic number.

1366113320 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 1366113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

1366113320 is an abundant number, since it is smaller than the sum of its proper divisors (2263654360).

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

1366113320 is a wasteful number, since it uses less digits than its factorization.

1366113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 1366113320 is about 36960.9702253607. The cubic root of 1366113320 is about 1109.5892536473.

Adding to 1366113320 its reverse (233116631), we get a palindrome (1599229951).

It can be divided in two parts, 136611 and 3320, that added together give a palindrome (139931).

The spelling of 1366113320 in words is "one billion, three hundred sixty-six million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 241 260 286 440 482 520 572 715 964 991 1144 1205 1430 1928 1982 2410 2651 2860 3133 3964 4820 4955 5302 5720 6266 7928 9640 9910 10604 10901 12532 12883 13255 15665 19820 21208 21802 25064 25766 26510 31330 34463 39640 43604 51532 53020 54505 62660 64415 68926 87208 103064 106040 109010 125320 128830 137852 141713 172315 218020 238831 257660 275704 283426 344630 436040 477662 515320 566852 689260 708565 955324 1133704 1194155 1378520 1417130 1910648 2388310 2627141 2834260 3104803 4776620 5254282 5668520 6209606 9553240 10508564 12419212 13135705 15524015 21017128 24838424 26271410 31048030 34152833 52542820 62096060 68305666 105085640 124192120 136611332 170764165 273222664 341528330 683056660 1366113320