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1099168080 = 24357957973
BaseRepresentation
bin100000110000011…
…1111100101010000
32211121021112010220
41001200333211100
54222341334310
6301022553040
736144526443
oct10140774520
92747245126
101099168080
115144a727a
12268138780
1314694c11a
14a5da365a
156676e670
hex4183f950

1099168080 has 80 divisors (see below), whose sum is σ = 3450612480. Its totient is φ = 289396224.

The previous prime is 1099168073. The next prime is 1099168097. The reversal of 1099168080 is 808619901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10027 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (43132656).

Almost surely, 21099168080 is an apocalyptic number.

1099168080 is a gapful number since it is divisible by the number (10) 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 1099168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725306240).

1099168080 is an abundant number, since it is smaller than the sum of its proper divisors (2351444400).

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

1099168080 is a wasteful number, since it uses less digits than its factorization.

1099168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58068 (or 58062 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 1099168080 is about 33153.7038654809. The cubic root of 1099168080 is about 1032.0198151354.

The spelling of 1099168080 in words is "one billion, ninety-nine million, one hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 57973 115946 173919 231892 289865 347838 463784 579730 695676 869595 927568 1159460 1391352 1739190 2318920 2782704 3478380 4579867 4637840 6956760 9159734 13739601 13913520 18319468 22899335 27479202 36638936 45798670 54958404 68698005 73277872 91597340 109916808 137396010 183194680 219833616 274792020 366389360 549584040 1099168080