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1093433984 = 27233111981
BaseRepresentation
bin100000100101100…
…0111101010000000
32211012111012102222
41001023013222000
54214404341414
6300300030212
736045015116
oct10113075200
92735435388
101093433984
11511240155
12266232368
131456c2176
14a530dab6
1565eda68e
hex412c7a80

1093433984 has 64 divisors (see below), whose sum is σ = 2346554880. Its totient is φ = 506035200.

The previous prime is 1093433969. The next prime is 1093433987. The reversal of 1093433984 is 4893343901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10934339842 = 2391195754732224512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1093433987) 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 7 ways as a sum of consecutive naturals, for example, 85274 + ... + 97254.

It is an arithmetic number, because the mean of its divisors is an integer number (36664920).

Almost surely, 21093433984 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 1093433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173277440).

1093433984 is an abundant number, since it is smaller than the sum of its proper divisors (1253120896).

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

1093433984 is a wasteful number, since it uses less digits than its factorization.

1093433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 1093433984 is about 33067.1133303166. The cubic root of 1093433984 is about 1030.2220855199. Note that the first 3 decimals are identical.

The spelling of 1093433984 in words is "one billion, ninety-three million, four hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2852 2944 3968 5704 11408 11981 22816 23962 45632 47924 91264 95848 191696 275563 371411 383392 551126 742822 766784 1102252 1485644 1533568 2204504 2971288 4409008 5942576 8542453 8818016 11885152 17084906 17636032 23770304 34169812 35272064 47540608 68339624 136679248 273358496 546716992 1093433984