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9098112 = 273192943
BaseRepresentation
bin100010101101…
…001110000000
3122010020021010
4202231032000
54312114422
6523000520
7140222052
oct42551600
918106233
109098112
115154601
123069140
131b671ca
1412cb8d2
15beab0c
hex8ad380

9098112 has 128 divisors (see below), whose sum is σ = 26928000. Its totient is φ = 2709504.

The previous prime is 9098107. The next prime is 9098113. The reversal of 9098112 is 2118909.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 9098112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9098113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211563 + ... + 211605.

It is an arithmetic number, because the mean of its divisors is an integer number (210375).

Almost surely, 29098112 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 9098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464000).

9098112 is an abundant number, since it is smaller than the sum of its proper divisors (17829888).

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

9098112 is a wasteful number, since it uses less digits than its factorization.

9098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 9098112 is about 3016.3076766139. The cubic root of 9098112 is about 208.7615084432.

The spelling of 9098112 in words is "nine million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 43 48 57 58 64 76 86 87 96 114 116 128 129 152 172 174 192 228 232 258 304 344 348 384 456 464 516 551 608 688 696 817 912 928 1032 1102 1216 1247 1376 1392 1634 1653 1824 1856 2064 2204 2432 2451 2494 2752 2784 3268 3306 3648 3712 3741 4128 4408 4902 4988 5504 5568 6536 6612 7296 7482 8256 8816 9804 9976 11136 13072 13224 14964 16512 17632 19608 19952 23693 26144 26448 29928 35264 39216 39904 47386 52288 52896 59856 70528 71079 78432 79808 94772 104576 105792 119712 142158 156864 159616 189544 211584 239424 284316 313728 379088 478848 568632 758176 1137264 1516352 2274528 3032704 4549056 9098112