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10630080 = 263253691
BaseRepresentation
bin101000100011…
…001111000000
3202000001201200
4220203033000
510210130310
61015501200
7156232326
oct50431700
922001650
1010630080
11600059a
123687800
1322825b6
1415a9d16
15dee9c0
hexa233c0

10630080 has 84 divisors (see below), whose sum is σ = 36572952. Its totient is φ = 2833920.

The previous prime is 10630079. The next prime is 10630091. The reversal of 10630080 is 8003601.

It is a super-2 number, since 2×106300802 = 225997201612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035 + ... + 4725.

Almost surely, 210630080 is an apocalyptic number.

10630080 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 10630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286476).

10630080 is an abundant number, since it is smaller than the sum of its proper divisors (25942872).

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

10630080 is a wasteful number, since it uses less digits than its factorization.

10630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10630080 is about 3260.3803459106. The cubic root of 10630080 is about 219.8765147231.

Adding to 10630080 its reverse (8003601), we get a palindrome (18633681).

The spelling of 10630080 in words is "ten million, six hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3691 7382 11073 14764 18455 22146 29528 33219 36910 44292 55365 59056 66438 73820 88584 110730 118112 132876 147640 166095 177168 221460 236224 265752 295280 332190 354336 442920 531504 590560 664380 708672 885840 1063008 1181120 1328760 1771680 2126016 2657520 3543360 5315040 10630080