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8090112 = 29323229
BaseRepresentation
bin11110110111001000000000
3120020000112210
4132313020000
54032340422
6445222120
7125523222
oct36671000
916200483
108090112
114626248
122861940
1318a3464
141108412
15a9c10c
hex7b7200

8090112 has 80 divisors (see below), whose sum is σ = 22587840. Its totient is φ = 2568192.

The previous prime is 8090107. The next prime is 8090119. The reversal of 8090112 is 2110908.

It is not an unprimeable number, because it can be changed into a prime (8090119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35214 + ... + 35442.

It is an arithmetic number, because the mean of its divisors is an integer number (282348).

Almost surely, 28090112 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 8090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293920).

8090112 is an abundant number, since it is smaller than the sum of its proper divisors (14497728).

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

8090112 is a wasteful number, since it uses less digits than its factorization.

8090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 8090112 is about 2844.3122191489. The cubic root of 8090112 is about 200.7481313414.

The spelling of 8090112 in words is "eight million, ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 229 256 276 368 384 458 512 552 687 736 768 916 1104 1374 1472 1536 1832 2208 2748 2944 3664 4416 5267 5496 5888 7328 8832 10534 10992 11776 14656 15801 17664 21068 21984 29312 31602 35328 42136 43968 58624 63204 84272 87936 117248 126408 168544 175872 252816 337088 351744 505632 674176 1011264 1348352 2022528 2696704 4045056 8090112