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13150080 = 27335761
BaseRepresentation
bin110010001010…
…011110000000
3220202002112000
4302022132000
511331300310
61145504000
7216526266
oct62123600
926662460
1013150080
117471939
1244a2000
132955618
141a64436
15124b4c0
hexc8a780

13150080 has 128 divisors (see below), whose sum is σ = 46634400. Its totient is φ = 3502080.

The previous prime is 13150073. The next prime is 13150091. The reversal of 13150080 is 8005131.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 16900 + ... + 17660.

Almost surely, 213150080 is an apocalyptic number.

13150080 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 13150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317200).

13150080 is an abundant number, since it is smaller than the sum of its proper divisors (33484320).

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

13150080 is an equidigital number, since it uses as much as digits as its factorization.

13150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 13150080 is about 3626.3039034256. The cubic root of 13150080 is about 236.0348507376.

The spelling of 13150080 in words is "thirteen million, one hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 761 864 960 1080 1152 1440 1522 1728 1920 2160 2283 2880 3044 3456 3805 4320 4566 5760 6088 6849 7610 8640 9132 11415 12176 13698 15220 17280 18264 20547 22830 24352 27396 30440 34245 36528 41094 45660 48704 54792 60880 68490 73056 82188 91320 97408 102735 109584 121760 136980 146112 164376 182640 205470 219168 243520 273960 292224 328752 365280 410940 438336 487040 547920 657504 730560 821880 876672 1095840 1315008 1461120 1643760 2191680 2630016 3287520 4383360 6575040 13150080