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12250080 = 2532547181
BaseRepresentation
bin101110101110…
…101111100000
3212001100221200
4232232233200
511114000310
61114321200
7206060343
oct56565740
925040850
1012250080
116a07737
124129200
1326cba8b
1418ac45a
15111e9c0
hexbaebe0

12250080 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3179520.

The previous prime is 12250061. The next prime is 12250097. The reversal of 12250080 is 8005221.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 67590 + ... + 67770.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 212250080 is an apocalyptic number.

12250080 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 12250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12250080 is an abundant number, since it is smaller than the sum of its proper divisors (30678624).

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

12250080 is a wasteful number, since it uses less digits than its factorization.

12250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12250080 is about 3500.0114285528. The cubic root of 12250080 is about 230.5223164180.

The spelling of 12250080 in words is "twelve million, two hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 181 188 235 240 282 288 360 362 376 423 470 480 543 564 705 720 724 752 846 905 940 1086 1128 1410 1440 1448 1504 1629 1692 1810 1880 2115 2172 2256 2715 2820 2896 3258 3384 3620 3760 4230 4344 4512 5430 5640 5792 6516 6768 7240 7520 8145 8460 8507 8688 10860 11280 13032 13536 14480 16290 16920 17014 17376 21720 22560 25521 26064 28960 32580 33840 34028 42535 43440 51042 52128 65160 67680 68056 76563 85070 86880 102084 127605 130320 136112 153126 170140 204168 255210 260640 272224 306252 340280 382815 408336 510420 612504 680560 765630 816672 1020840 1225008 1361120 1531260 2041680 2450016 3062520 4083360 6125040 12250080