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1130098816 = 27711114661
BaseRepresentation
bin100001101011011…
…1111000010000000
32220202110222010201
41003112333002000
54303301130231
6304045534544
740001452510
oct10326770200
92822428121
101130098816
1152aa02a70
12276574454
1315018b932
14aa135840
156932e161
hex435bf080

1130098816 has 64 divisors (see below), whose sum is σ = 2806925760. Its totient is φ = 440294400.

The previous prime is 1130098787. The next prime is 1130098819. The reversal of 1130098816 is 6188900311.

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

It is not an unprimeable number, because it can be changed into a prime (1130098819) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47475 + ... + 67186.

It is an arithmetic number, because the mean of its divisors is an integer number (43858215).

Almost surely, 21130098816 is an apocalyptic number.

1130098816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1130098816 is an abundant number, since it is smaller than the sum of its proper divisors (1676826944).

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

1130098816 is a wasteful number, since it uses less digits than its factorization.

1130098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114693 (or 114681 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1130098816 is about 33616.9423951674. The cubic root of 1130098816 is about 1041.6107977232.

The spelling of 1130098816 in words is "one billion, one hundred thirty million, ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 114661 229322 458644 802627 917288 1261271 1605254 1834576 2522542 3210508 3669152 5045084 6421016 7338304 8828897 10090168 12842032 14676608 17657794 20180336 25684064 35315588 40360672 51368128 70631176 80721344 102736256 141262352 161442688 282524704 565049408 1130098816