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1112084064 = 253271342433
BaseRepresentation
bin100001001001001…
…0000111001100000
32212111120201112200
41002102100321200
54234143142224
6302203453200
736362362410
oct10222207140
92774521480
101112084064
11520819243
12270527200
13149522010
14a79a6640
15679715c9
hex42490e60

1112084064 has 144 divisors (see below), whose sum is σ = 3892385952. Its totient is φ = 293289984.

The previous prime is 1112084059. The next prime is 1112084081. The reversal of 1112084064 is 4604802111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4992 + ... + 47424.

It is an arithmetic number, because the mean of its divisors is an integer number (27030458).

Almost surely, 21112084064 is an apocalyptic number.

1112084064 is a gapful number since it is divisible by the number (14) 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 1112084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946192976).

1112084064 is an abundant number, since it is smaller than the sum of its proper divisors (2780301888).

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

1112084064 is a wasteful number, since it uses less digits than its factorization.

1112084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42469 (or 42458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1112084064 is about 33347.9244331638. The cubic root of 1112084064 is about 1036.0463995358.

Adding to 1112084064 its reverse (4604802111), we get a palindrome (5716886175).

The spelling of 1112084064 in words is "one billion, one hundred twelve million, eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 42433 84866 127299 169732 254598 297031 339464 381897 509196 551629 594062 678928 763794 891093 1018392 1103258 1188124 1357856 1527588 1654887 1782186 2036784 2206516 2376248 2673279 3055176 3309774 3564372 3861403 4073568 4413032 4752496 4964661 5346558 6110352 6619548 7128744 7722806 8826064 9504992 9929322 10693116 11584209 12220704 13239096 14257488 15445612 17652128 19858644 21386232 23168418 26478192 28514976 30891224 34752627 39717288 42772464 46336836 52956384 61782448 69505254 79434576 85544928 92673672 123564896 139010508 158869152 185347344 278021016 370694688 556042032 1112084064