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1159790104 = 2311312931451
BaseRepresentation
bin100010100100000…
…1111111000011000
32222211100102221001
41011020033320120
54333401240404
6311030154344
740512024154
oct10510177030
92884312831
101159790104
11545742520
122844b29b4
13156386245
14b0064064
156bc467a4
hex4520fe18

1159790104 has 64 divisors (see below), whose sum is σ = 2458874880. Its totient is φ = 508080000.

The previous prime is 1159790101. The next prime is 1159790129. The reversal of 1159790104 is 4010979511.

It is a super-2 number, since 2×11597901042 = 2690226170672661632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159790101) 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 15 ways as a sum of consecutive naturals, for example, 798579 + ... + 800029.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 21159790104 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 1159790104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229437440).

1159790104 is an abundant number, since it is smaller than the sum of its proper divisors (1299084776).

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

1159790104 is a wasteful number, since it uses less digits than its factorization.

1159790104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The square root of 1159790104 is about 34055.6912130704. The cubic root of 1159790104 is about 1050.6541967057.

The spelling of 1159790104 in words is "one billion, one hundred fifty-nine million, seven hundred ninety thousand, one hundred four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 293 341 586 682 1172 1364 1451 2344 2728 2902 3223 5804 6446 9083 11608 12892 15961 18166 25784 31922 36332 44981 63844 72664 89962 99913 127688 179924 199826 359848 399652 425143 494791 799304 850286 989582 1700572 1979164 3401144 3958328 4676573 9353146 13179433 18706292 26358866 37412584 52717732 105435464 144973763 289947526 579895052 1159790104