Search a number
-
+
1109230668 = 2232713547619
BaseRepresentation
bin100001000011101…
…1000010001001100
32212022012202102100
41002013120101030
54232430340133
6302022355100
736326206440
oct10207302114
92768182370
101109230668
1151a14a467
1226b58ba90
13148a63310
14a7462820
15675aae13
hex421d844c

1109230668 has 144 divisors (see below), whose sum is σ = 3462833920. Its totient is φ = 291537792.

The previous prime is 1109230667. The next prime is 1109230673. The reversal of 1109230668 is 8660329011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1109230663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791663 + ... + 1792281.

Almost surely, 21109230668 is an apocalyptic number.

1109230668 is a gapful number since it is divisible by the number (18) 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 1109230668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731416960).

1109230668 is an abundant number, since it is smaller than the sum of its proper divisors (2353603252).

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

1109230668 is a wasteful number, since it uses less digits than its factorization.

1109230668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1109230668 is about 33305.1147423335. The cubic root of 1109230668 is about 1035.1595413236.

Adding to 1109230668 its reverse (8660329011), we get a palindrome (9769559679).

The spelling of 1109230668 in words is "one billion, one hundred nine million, two hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 547 619 819 1092 1094 1238 1638 1641 1857 2188 2476 3276 3282 3714 3829 4333 4923 5571 6564 7111 7428 7658 8047 8666 9846 11142 11487 12999 14222 15316 16094 17332 19692 21333 22284 22974 24141 25998 28444 32188 34461 38997 42666 45948 48282 49777 51996 56329 63999 68922 72423 77994 85332 96564 99554 112658 127998 137844 144846 149331 155988 168987 199108 225316 255996 289692 298662 337974 338593 447993 506961 597324 675948 677186 895986 1013922 1015779 1354372 1791972 2027844 2031558 2370151 3047337 4063116 4401709 4740302 6094674 7110453 8803418 9480604 12189348 13205127 14220906 17606836 21331359 26410254 28441812 30811963 39615381 42662718 52820508 61623926 79230762 85325436 92435889 123247852 158461524 184871778 277307667 369743556 554615334 1109230668