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12250880 = 28517563
BaseRepresentation
bin101110101110…
…111100000000
3212001102001022
4232232330000
511114012010
61114325012
7206062565
oct56567400
925042038
1012250880
116a082a4
124129768
1326cc255
1418ac86c
15111ed55
hexbaef00

12250880 has 72 divisors (see below), whose sum is σ = 31126032. Its totient is φ = 4603904.

The previous prime is 12250873. The next prime is 12250891. The reversal of 12250880 is 8805221.

12250880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21479 + ... + 22041.

It is an arithmetic number, because the mean of its divisors is an integer number (432306).

Almost surely, 212250880 is an apocalyptic number.

12250880 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 12250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563016).

12250880 is an abundant number, since it is smaller than the sum of its proper divisors (18875152).

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

12250880 is an equidigital number, since it uses as much as digits as its factorization.

12250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 12250880 is about 3500.1257120281. The cubic root of 12250880 is about 230.5273344489.

The spelling of 12250880 in words is "twelve million, two hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 563 640 680 1088 1126 1280 1360 2176 2252 2720 2815 4352 4504 5440 5630 9008 9571 10880 11260 18016 19142 21760 22520 36032 38284 45040 47855 72064 76568 90080 95710 144128 153136 180160 191420 306272 360320 382840 612544 720640 765680 1225088 1531360 2450176 3062720 6125440 12250880