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1130749056 = 27323131663
BaseRepresentation
bin100001101100101…
…1101110010000000
32220210201000002200
41003121131302000
54303432432211
6304111513200
740010131323
oct10331356200
92823630080
101130749056
11530307558
12276828800
131503588a8
14aa2647ba
156940bb56
hex4365dc80

1130749056 has 96 divisors (see below), whose sum is σ = 3358917120. Its totient is φ = 364746240.

The previous prime is 1130749051. The next prime is 1130749057. The reversal of 1130749056 is 6509470311.

1130749056 is a `hidden beast` number, since 113 + 0 + 7 + 490 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11307490562 = 2557186855289782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1130749056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130749051) 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 11 ways as a sum of consecutive naturals, for example, 19881 + ... + 51543.

It is an arithmetic number, because the mean of its divisors is an integer number (34988720).

Almost surely, 21130749056 is an apocalyptic number.

1130749056 is a gapful number since it is divisible by the number (16) 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 1130749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679458560).

1130749056 is an abundant number, since it is smaller than the sum of its proper divisors (2228168064).

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

1130749056 is a wasteful number, since it uses less digits than its factorization.

1130749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31714 (or 31699 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1130749056 is about 33626.6123182220. The cubic root of 1130749056 is about 1041.8105345767.

The spelling of 1130749056 in words is "one billion, one hundred thirty million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 31663 35712 63326 94989 126652 189978 253304 284967 379956 506608 569934 759912 981553 1013216 1139868 1519824 1963106 2026432 2279736 2944659 3039648 3926212 4052864 4559472 5889318 6079296 7852424 8833977 9118944 11778636 12158592 15704848 17667954 18237888 23557272 31409696 35335908 36475776 47114544 62819392 70671816 94229088 125638784 141343632 188458176 282687264 376916352 565374528 1130749056