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1166089344 = 2737433813
BaseRepresentation
bin100010110000001…
…0001110010000000
310000021012110212020
41011200101302000
54342004324334
6311413201440
740616411250
oct10540216200
93007173766
101166089344
11549255202
12286630280
131577804c4
14b0c23960
156c58ce49
hex45811c80

1166089344 has 64 divisors (see below), whose sum is σ = 3539922240. Its totient is φ = 333167616.

The previous prime is 1166089343. The next prime is 1166089349. The reversal of 1166089344 is 4439806611.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1166089296 and 1166089305.

It is not an unprimeable number, because it can be changed into a prime (1166089343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214219 + ... + 219594.

It is an arithmetic number, because the mean of its divisors is an integer number (55311285).

Almost surely, 21166089344 is an apocalyptic number.

1166089344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1166089344 is an abundant number, since it is smaller than the sum of its proper divisors (2373832896).

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

1166089344 is an equidigital number, since it uses as much as digits as its factorization.

1166089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433837 (or 433825 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1166089344 is about 34148.0503689449. The cubic root of 1166089344 is about 1052.5529244078.

The spelling of 1166089344 in words is "one billion, one hundred sixty-six million, eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 433813 867626 1301439 1735252 2602878 3036691 3470504 5205756 6073382 6941008 9110073 10411512 12146764 13882016 18220146 20823024 24293528 27764032 36440292 41646048 48587056 55528064 72880584 83292096 97174112 145761168 166584192 194348224 291522336 388696448 583044672 1166089344