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1116228096 = 2932298353
BaseRepresentation
bin100001010001000…
…0100101000000000
32212210101021002100
41002202010220000
54241223244341
6302432350400
736442532214
oct10242045000
92783337070
101116228096
11523099765
122719a5400
1314a3432c9
14a8364944
1567ede3b6
hex42884a00

1116228096 has 120 divisors (see below), whose sum is σ = 3332995380. Its totient is φ = 359202816.

The previous prime is 1116228083. The next prime is 1116228097. The reversal of 1116228096 is 6908226111.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 9734400 = 33264^2 + 3120^2 .

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 1116228096.

It is not an unprimeable number, because it can be changed into a prime (1116228097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129456 + ... + 137808.

Almost surely, 21116228096 is an apocalyptic number.

1116228096 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 1116228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666497690).

1116228096 is an abundant number, since it is smaller than the sum of its proper divisors (2216767284).

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

1116228096 is an equidigital number, since it uses as much as digits as its factorization.

1116228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1116228096 is about 33409.9999401377. Note that the first 4 decimals coincide. The cubic root of 1116228096 is about 1037.3317003049.

The spelling of 1116228096 in words is "one billion, one hundred sixteen million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1044 1152 1392 1536 1856 2088 2304 2784 3712 4176 4608 5568 7424 8352 8353 11136 14848 16704 16706 22272 25059 33408 33412 44544 50118 66816 66824 75177 100236 133632 133648 150354 200472 242237 267296 300708 400944 484474 534592 601416 726711 801888 968948 1069184 1202832 1453422 1603776 1937896 2138368 2180133 2405664 2906844 3207552 3875792 4276736 4360266 4811328 5813688 6415104 7751584 8720532 9622656 11627376 12830208 15503168 17441064 19245312 23254752 31006336 34882128 38490624 46509504 62012672 69764256 93019008 124025344 139528512 186038016 279057024 372076032 558114048 1116228096