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1076111712 = 2532131971459
BaseRepresentation
bin100000000100100…
…0010100101100000
32202222220010202100
41000021002211200
54200441033322
6254440450400
735444540634
oct10011024540
92688803670
101076111712
11502489725
12260479a00
13141c387c0
14a2cc0dc4
1564717dac
hex40242960

1076111712 has 144 divisors (see below), whose sum is σ = 3314591280. Its totient is φ = 329204736.

The previous prime is 1076111689. The next prime is 1076111717. The reversal of 1076111712 is 2171116701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076111717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736839 + ... + 738297.

It is an arithmetic number, because the mean of its divisors is an integer number (23017995).

Almost surely, 21076111712 is an apocalyptic number.

1076111712 is a gapful number since it is divisible by the number (12) 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 1076111712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657295640).

1076111712 is an abundant number, since it is smaller than the sum of its proper divisors (2238479568).

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

1076111712 is a wasteful number, since it uses less digits than its factorization.

1076111712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The square root of 1076111712 is about 32804.1416897318. The cubic root of 1076111712 is about 1024.7528135250.

The spelling of 1076111712 in words is "one billion, seventy-six million, one hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 197 208 234 288 312 394 416 468 591 624 788 936 1182 1248 1459 1576 1773 1872 2364 2561 2918 3152 3546 3744 4377 4728 5122 5836 6304 7092 7683 8754 9456 10244 11672 13131 14184 15366 17508 18912 18967 20488 23049 23344 26262 28368 30732 35016 37934 40976 46098 46688 52524 56736 56901 61464 70032 75868 81952 92196 105048 113802 122928 140064 151736 170703 184392 210096 227604 245856 287423 303472 341406 368784 420192 455208 574846 606944 682812 737568 862269 910416 1149692 1365624 1724538 1820832 2299384 2586807 2731248 3449076 3736499 4598768 5173614 5462496 6898152 7472998 9197536 10347228 11209497 13796304 14945996 20694456 22418994 27592608 29891992 33628491 41388912 44837988 59783984 67256982 82777824 89675976 119567968 134513964 179351952 269027928 358703904 538055856 1076111712