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10246080 = 263513821
BaseRepresentation
bin100111000101…
…011111000000
3201021112222110
4213011133000
510110333310
61003335320
7153042645
oct47053700
921245873
1010246080
115869039
123521540
132179890
141509dcc
15d75d20
hex9c57c0

10246080 has 112 divisors (see below), whose sum is σ = 35076384. Its totient is φ = 2519040.

The previous prime is 10246057. The next prime is 10246097. The reversal of 10246080 is 8064201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12070 + ... + 12890.

It is an arithmetic number, because the mean of its divisors is an integer number (313182).

Almost surely, 210246080 is an apocalyptic number.

10246080 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 10246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17538192).

10246080 is an abundant number, since it is smaller than the sum of its proper divisors (24830304).

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

10246080 is a wasteful number, since it uses less digits than its factorization.

10246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10246080 is about 3200.9498590262. The cubic root of 10246080 is about 217.1963791032.

The spelling of 10246080 in words is "ten million, two hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 821 832 960 1040 1248 1560 1642 2080 2463 2496 3120 3284 4105 4160 4926 6240 6568 8210 9852 10673 12315 12480 13136 16420 19704 21346 24630 26272 32019 32840 39408 42692 49260 52544 53365 64038 65680 78816 85384 98520 106730 128076 131360 157632 160095 170768 197040 213460 256152 262720 320190 341536 394080 426920 512304 640380 683072 788160 853840 1024608 1280760 1707680 2049216 2561520 3415360 5123040 10246080