Search a number
-
+
1069114112 = 28113137331
BaseRepresentation
bin111111101110010…
…110001100000000
32202111201121211222
4333232112030000
54142143122422
6254030454212
735331214523
oct7756261400
92674647758
101069114112
114a953a290
1225a064368
13140658701
14a1dbcbba
1563cd4842
hex3fb96300

1069114112 has 144 divisors (see below), whose sum is σ = 2475561984. Its totient is φ = 456192000.

The previous prime is 1069114093. The next prime is 1069114133. The reversal of 1069114112 is 2114119601.

1069114112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10691141122 = 2286009968955097088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3229787 + ... + 3230117.

Almost surely, 21069114112 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 1069114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237780992).

1069114112 is an abundant number, since it is smaller than the sum of its proper divisors (1406447872).

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

1069114112 is a wasteful number, since it uses less digits than its factorization.

1069114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 1069114112 is about 32697.3104704347. The cubic root of 1069114112 is about 1022.5267714569.

The spelling of 1069114112 in words is "one billion, sixty-nine million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 64 74 88 124 128 148 176 248 256 296 331 341 352 407 496 592 662 682 704 814 992 1147 1184 1324 1364 1408 1628 1984 2294 2368 2648 2728 2816 3256 3641 3968 4588 4736 5296 5456 6512 7282 7936 9176 9472 10261 10592 10912 12247 12617 13024 14564 18352 20522 21184 21824 24494 25234 26048 29128 36704 41044 42368 43648 48988 50468 52096 58256 73408 82088 84736 87296 97976 100936 104192 112871 116512 134717 146816 164176 195952 201872 225742 233024 269434 293632 328352 379657 391904 403744 451484 466048 538868 656704 759314 783808 807488 902968 932096 1077736 1313408 1518628 1567616 1614976 1805936 2155472 2626816 3037256 3135232 3229952 3611872 4176227 4310944 6074512 7223744 8352454 8621888 12149024 14447488 16704908 17243776 24298048 28894976 33409816 34487552 48596096 66819632 97192192 133639264 267278528 534557056 1069114112