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1076166984 = 233313114651
BaseRepresentation
bin100000000100101…
…0000000101001000
32202222222221120110
41000021100011020
54200444320414
6254441554320
735445161034
oct10011200510
92688887513
101076166984
11502517202
122604a59a0
13141c579c9
14a2cd71c4
1564729459
hex40250148

1076166984 has 64 divisors (see below), whose sum is σ = 2786734080. Its totient is φ = 345960000.

The previous prime is 1076166983. The next prime is 1076166989. The reversal of 1076166984 is 4896616701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1076166983) 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 15 ways as a sum of consecutive naturals, for example, 229059 + ... + 233709.

It is an arithmetic number, because the mean of its divisors is an integer number (43542720).

Almost surely, 21076166984 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 1076166984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393367040).

1076166984 is an abundant number, since it is smaller than the sum of its proper divisors (1710567096).

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

1076166984 is a wasteful number, since it uses less digits than its factorization.

1076166984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1076166984 is about 32804.9841335124. The cubic root of 1076166984 is about 1024.7703579141.

The spelling of 1076166984 in words is "one billion, seventy-six million, one hundred sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 311 372 622 744 933 1244 1866 2488 3732 4651 7464 9302 9641 13953 18604 19282 27906 28923 37208 38564 55812 57846 77128 111624 115692 144181 231384 288362 432543 576724 865086 1153448 1446461 1730172 2892922 3460344 4339383 5785844 8678766 11571688 17357532 34715064 44840291 89680582 134520873 179361164 269041746 358722328 538083492 1076166984