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1130138688 = 26374717891
BaseRepresentation
bin100001101011100…
…1000110001000000
32220202112222211110
41003113020301000
54303303414223
6304050443320
740002006660
oct10327106100
92822488743
101130138688
1152aa2aa18
12276593540
131501a3b23
14aa1461a0
156933ad93
hex435c8c40

1130138688 has 112 divisors (see below), whose sum is σ = 3490228224. Its totient is φ = 316008960.

The previous prime is 1130138683. The next prime is 1130138689. The reversal of 1130138688 is 8868310311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11301386882 = 2554426908228722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130138683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54223 + ... + 72113.

It is an arithmetic number, because the mean of its divisors is an integer number (31162752).

Almost surely, 21130138688 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 1130138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745114112).

1130138688 is an abundant number, since it is smaller than the sum of its proper divisors (2360089536).

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

1130138688 is a wasteful number, since it uses less digits than its factorization.

1130138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17960 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1130138688 is about 33617.5354242395. The cubic root of 1130138688 is about 1041.6230475715.

Adding to 1130138688 its reverse (8868310311), we get a palindrome (9998448999).

The spelling of 1130138688 in words is "one billion, one hundred thirty million, one hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 7896 9024 10528 15792 17891 21056 31584 35782 53673 63168 71564 107346 125237 143128 214692 250474 286256 375711 429384 500948 572512 751422 840877 858768 1001896 1145024 1502844 1681754 1717536 2003792 2522631 3005688 3363508 3435072 4007584 5045262 5886139 6011376 6727016 8015168 10090524 11772278 12022752 13454032 17658417 20181048 23544556 24045504 26908064 35316834 40362096 47089112 53816128 70633668 80724192 94178224 141267336 161448384 188356448 282534672 376712896 565069344 1130138688