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1112089104 = 2432723972
BaseRepresentation
bin100001001001001…
…0010001000010000
32212111120222110100
41002102102020100
54234143322404
6302203532400
736362413200
oct10222221020
92774528410
101112089104
11520822005
1227052a100
131495243b9
14a79a8400
1567972d39
hex42492210

1112089104 has 135 divisors (see below), whose sum is σ = 3629578797. Its totient is φ = 316939392.

The previous prime is 1112089063. The next prime is 1112089151. The reversal of 1112089104 is 4019802111.

The square root of 1112089104 is 33348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 745290000 + 366799104 = 27300^2 + 19152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2801034 + ... + 2801430.

Almost surely, 21112089104 is an apocalyptic number.

1112089104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1112089104 is the 33348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112089104

1112089104 is an abundant number, since it is smaller than the sum of its proper divisors (2517489693).

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

1112089104 is an equidigital number, since it uses as much as digits as its factorization.

1112089104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The cubic root of 1112089104 is about 1036.0479646651.

Multiplying 1112089104 by its product of nonzero digits (576), we get a square (640563323904 = 8003522).

The spelling of 1112089104 in words is "one billion, one hundred twelve million, eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 397 441 504 588 784 794 882 1008 1176 1191 1588 1764 2352 2382 2779 3176 3528 3573 4764 5558 6352 7056 7146 8337 9528 11116 14292 16674 19056 19453 22232 25011 28584 33348 38906 44464 50022 57168 58359 66696 77812 100044 116718 133392 155624 157609 175077 200088 233436 311248 315218 350154 400176 466872 472827 630436 700308 933744 945654 1103263 1260872 1400616 1418481 1891308 2206526 2521744 2801232 2836962 3309789 3782616 4413052 5673924 6619578 7565232 7722841 8826104 9929367 11347848 13239156 15445682 17652208 19858734 22695696 23168523 26478312 30891364 39717468 46337046 52956624 61782728 69505569 79434936 92674092 123565456 139011138 158869872 185348184 278022276 370696368 556044552 1112089104