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1166020608 = 2123313061
BaseRepresentation
bin100010110000000…
…0001000000000000
310000021001222120110
41011200001000000
54342000124413
6311411511320
740616003664
oct10540010000
93007058513
101166020608
115492085a5
122865b8540
1315775812c
14b0c068a4
156c5778c3
hex45801000

1166020608 has 104 divisors (see below), whose sum is σ = 3210347776. Its totient is φ = 376012800.

The previous prime is 1166020561. The next prime is 1166020613. The reversal of 1166020608 is 8060206611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379398 + ... + 382458.

Almost surely, 21166020608 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 1166020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605173888).

1166020608 is an abundant number, since it is smaller than the sum of its proper divisors (2044327168).

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

1166020608 is an equidigital number, since it uses as much as digits as its factorization.

1166020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1166020608 is about 34147.0439130534. The cubic root of 1166020608 is about 1052.5322428309.

It can be divided in two parts, 1166020 and 608, that added together give a triangular number (1166628 = T1527).

The spelling of 1166020608 in words is "one billion, one hundred sixty-six million, twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3061 3072 3968 4096 5952 6122 6144 7936 9183 11904 12244 12288 15872 18366 23808 24488 31744 36732 47616 48976 63488 73464 94891 95232 97952 126976 146928 189782 190464 195904 284673 293856 379564 380928 391808 569346 587712 759128 783616 1138692 1175424 1518256 1567232 2277384 2350848 3036512 3134464 4554768 4701696 6073024 6268928 9109536 9403392 12146048 12537856 18219072 18806784 24292096 36438144 37613568 48584192 72876288 97168384 145752576 194336768 291505152 388673536 583010304 1166020608