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1109325984 = 253133972239
BaseRepresentation
bin100001000011110…
…1111100010100000
32212022101121011120
41002013233202200
54232441412414
6302024412240
736330054354
oct10207574240
92768347146
101109325984
1151a205038
1226b617080
13148a97810
14a7489464
15675c92a9
hex421ef8a0

1109325984 has 96 divisors (see below), whose sum is σ = 3145282560. Its totient is φ = 340319232.

The previous prime is 1109325977. The next prime is 1109325991. The reversal of 1109325984 is 4895239011.

It is an interprime number because it is at equal distance from previous prime (1109325977) and next prime (1109325991).

It is a tau number, because it is divible by the number of its divisors (96).

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, 494337 + ... + 496575.

It is an arithmetic number, because the mean of its divisors is an integer number (32763360).

Almost surely, 21109325984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109325984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572641280).

1109325984 is an abundant number, since it is smaller than the sum of its proper divisors (2035956576).

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

1109325984 is a wasteful number, since it uses less digits than its factorization.

1109325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1109325984 is about 33306.5456629774. The cubic root of 1109325984 is about 1035.1891908346.

The spelling of 1109325984 in words is "one billion, one hundred nine million, three hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 397 416 624 794 1191 1248 1588 2239 2382 3176 4478 4764 5161 6352 6717 8956 9528 10322 12704 13434 15483 17912 19056 20644 26868 29107 30966 35824 38112 41288 53736 58214 61932 71648 82576 87321 107472 116428 123864 165152 174642 214944 232856 247728 349284 465712 495456 698568 888883 931424 1397136 1777766 2666649 2794272 3555532 5333298 7111064 10666596 11555479 14222128 21333192 23110958 28444256 34666437 42666384 46221916 69332874 85332768 92443832 138665748 184887664 277331496 369775328 554662992 1109325984