Search a number
-
+
1109827368 = 2332134672539
BaseRepresentation
bin100001000100110…
…1001111100101000
32212100100001221100
41002021221330220
54233103433433
6302043241400
736334243206
oct10211517450
92770301840
101109827368
1151a517801
1226b819260
13148c11ab0
14a757a076
1567677b13
hex42269f28

1109827368 has 96 divisors (see below), whose sum is σ = 3245205600. Its totient is φ = 340619904.

The previous prime is 1109827357. The next prime is 1109827379. The reversal of 1109827368 is 8637289011.

It is an interprime number because it is at equal distance from previous prime (1109827357) and next prime (1109827379).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 435843 + ... + 438381.

It is an arithmetic number, because the mean of its divisors is an integer number (33804225).

Almost surely, 21109827368 is an apocalyptic number.

1109827368 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 1109827368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622602800).

1109827368 is an abundant number, since it is smaller than the sum of its proper divisors (2135378232).

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

1109827368 is a wasteful number, since it uses less digits than its factorization.

1109827368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1109827368 is about 33314.0716214635. The cubic root of 1109827368 is about 1035.3451260990.

The spelling of 1109827368 in words is "one billion, one hundred nine million, eight hundred twenty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 467 468 934 936 1401 1868 2539 2802 3736 4203 5078 5604 6071 7617 8406 10156 11208 12142 15234 16812 18213 20312 22851 24284 30468 33007 33624 36426 45702 48568 54639 60936 66014 72852 91404 99021 109278 132028 145704 182808 198042 218556 264056 297063 396084 437112 594126 792168 1185713 1188252 2371426 2376504 3557139 4742852 7114278 9485704 10671417 14228556 15414269 21342834 28457112 30828538 42685668 46242807 61657076 85371336 92485614 123314152 138728421 184971228 277456842 369942456 554913684 1109827368