Search a number
-
+
1109490336 = 253211513347
BaseRepresentation
bin100001000100001…
…0111101010100000
32212022200221121200
41002020113222200
54233012142321
6302032121200
736331340463
oct10210275240
92768627550
101109490336
1151a307569
1226b696200
13148b24576
14a74cd2da
156760cd26
hex42217aa0

1109490336 has 72 divisors (see below), whose sum is σ = 3158797824. Its totient is φ = 369398400.

The previous prime is 1109490311. The next prime is 1109490337. The reversal of 1109490336 is 6330949011.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1109490336.

It is not an unprimeable number, because it can be changed into a prime (1109490337) 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 11 ways as a sum of consecutive naturals, for example, 329815 + ... + 333161.

It is an arithmetic number, because the mean of its divisors is an integer number (43872192).

Almost surely, 21109490336 is an apocalyptic number.

1109490336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1109490336 is an abundant number, since it is smaller than the sum of its proper divisors (2049307488).

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

1109490336 is a wasteful number, since it uses less digits than its factorization.

1109490336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1109490336 is about 33309.0128343666. The cubic root of 1109490336 is about 1035.2403110689.

The spelling of 1109490336 in words is "one billion, one hundred nine million, four hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1151 2302 3347 3453 4604 6694 6906 9208 10041 10359 13388 13812 18416 20082 20718 26776 27624 30123 36832 40164 41436 53552 55248 60246 80328 82872 107104 110496 120492 160656 165744 240984 321312 331488 481968 963936 3852397 7704794 11557191 15409588 23114382 30819176 34671573 46228764 61638352 69343146 92457528 123276704 138686292 184915056 277372584 369830112 554745168 1109490336