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10475080 = 23571119179
BaseRepresentation
bin100111111101…
…011001001000
3201201012002221
4213331121020
510140200310
61012303424
7155015410
oct47753110
921635087
1010475080
115a050a0
123611b74
132229b95
141569640
15dbdada
hex9fd648

10475080 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3075840.

The previous prime is 10475071. The next prime is 10475083. The reversal of 10475080 is 8057401.

It is not an unprimeable number, because it can be changed into a prime (10475083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58431 + ... + 58609.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 210475080 is an apocalyptic number.

10475080 is a gapful number since it is divisible by the number (10) 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 10475080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

10475080 is an abundant number, since it is smaller than the sum of its proper divisors (20628920).

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

10475080 is a wasteful number, since it uses less digits than its factorization.

10475080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10475080 is about 3236.5228255027. The cubic root of 10475080 is about 218.8025854532.

The spelling of 10475080 in words is "ten million, four hundred seventy-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 179 190 209 220 266 280 308 358 380 385 418 440 532 616 665 716 760 770 836 895 1045 1064 1253 1330 1432 1463 1540 1672 1790 1969 2090 2506 2660 2926 3080 3401 3580 3938 4180 5012 5320 5852 6265 6802 7160 7315 7876 8360 9845 10024 11704 12530 13604 13783 14630 15752 17005 19690 23807 25060 27208 27566 29260 34010 37411 39380 47614 50120 55132 58520 68020 68915 74822 78760 95228 110264 119035 136040 137830 149644 187055 190456 238070 261877 275660 299288 374110 476140 523754 551320 748220 952280 1047508 1309385 1496440 2095016 2618770 5237540 10475080