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1112484096 = 28321134273
BaseRepresentation
bin100001001001111…
…0010100100000000
32212112100001021200
41002103302210000
54234243442341
6302220221200
736365646603
oct10223624400
92775301250
101112484096
11520a71849
1227069a800
13149632119
14a7a6c33a
15679eedb6
hex424f2900

1112484096 has 108 divisors (see below), whose sum is σ = 3236708748. Its totient is φ = 367460352.

The previous prime is 1112484091. The next prime is 1112484133. The reversal of 1112484096 is 6904842111.

1112484096 is a `hidden beast` number, since 1 + 1 + 1 + 248 + 409 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 988473600 = 11136^2 + 31440^2 .

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 1112484096.

It is not an unprimeable number, because it can be changed into a prime (1112484091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258216 + ... + 262488.

Almost surely, 21112484096 is an apocalyptic number.

1112484096 is a gapful number since it is divisible by the number (16) 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 1112484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618354374).

1112484096 is an abundant number, since it is smaller than the sum of its proper divisors (2124224652).

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

1112484096 is a wasteful number, since it uses less digits than its factorization.

1112484096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1112484096 is about 33353.9217484241. The cubic root of 1112484096 is about 1036.1706113774.

The spelling of 1112484096 in words is "one billion, one hundred twelve million, four hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 576 678 768 904 1017 1152 1356 1808 2034 2304 2712 3616 4068 4273 5424 7232 8136 8546 10848 12819 14464 16272 17092 21696 25638 28928 32544 34184 38457 43392 51276 65088 68368 76914 86784 102552 130176 136736 153828 205104 260352 273472 307656 410208 482849 546944 615312 820416 965698 1093888 1230624 1448547 1640832 1931396 2461248 2897094 3281664 3862792 4345641 4922496 5794188 7725584 8691282 9844992 11588376 15451168 17382564 23176752 30902336 34765128 46353504 61804672 69530256 92707008 123609344 139060512 185414016 278121024 370828032 556242048 1112484096