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1130152986 = 23479233379
BaseRepresentation
bin100001101011100…
…1100010000011010
32220202120201110000
41003113030100122
54303304343421
6304051033430
740002066444
oct10327142032
92822521400
101130152986
1152aa3a736
1227659b876
131501aa4a1
14aa14b494
1569340226
hex435cc41a

1130152986 has 80 divisors (see below), whose sum is σ = 2582236800. Its totient is φ = 369375552.

The previous prime is 1130152981. The next prime is 1130152993. The reversal of 1130152986 is 6892510311.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1130152986.

It is not an unprimeable number, because it can be changed into a prime (1130152981) 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 39 ways as a sum of consecutive naturals, for example, 2981745 + ... + 2982123.

It is an arithmetic number, because the mean of its divisors is an integer number (32277960).

Almost surely, 21130152986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130152986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291118400).

1130152986 is an abundant number, since it is smaller than the sum of its proper divisors (1452083814).

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

1130152986 is a wasteful number, since it uses less digits than its factorization.

1130152986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1130152986 is about 33617.7480804411. The cubic root of 1130152986 is about 1041.6274402665.

The spelling of 1130152986 in words is "one billion, one hundred thirty million, one hundred fifty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 233 237 379 466 474 699 711 758 1137 1398 1422 2097 2133 2274 3411 4194 4266 6291 6399 6822 10233 12582 12798 18407 18873 20466 29941 30699 36814 37746 55221 59882 61398 88307 89823 110442 165663 176614 179646 264921 269469 331326 496989 529842 538938 794763 808407 993978 1490967 1589526 1616814 2384289 2425221 2981934 4768578 4850442 6976253 7152867 13952506 14305734 20928759 41857518 62786277 125572554 188358831 376717662 565076493 1130152986