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12303280 = 2451123141
BaseRepresentation
bin101110111011…
…101110110000
3212011001221001
4232323232300
511122201110
61115411344
7206401423
oct56735660
925131831
1012303280
116a43700
124153b54
13271a062
1418c39ba
15113063a
hexbbbbb0

12303280 has 120 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 4224000.

The previous prime is 12303233. The next prime is 12303281. The reversal of 12303280 is 8230321.

It is a happy number.

12303280 is a nontrivial binomial coefficient, being equal to C(4961, 2).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300060 + ... + 300100.

Almost surely, 212303280 is an apocalyptic number.

12303280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12303280 is the 4960-th triangular number.

12303280 is the 1654-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

12303280 is an abundant number, since it is smaller than the sum of its proper divisors (20944592).

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

12303280 is a wasteful number, since it uses less digits than its factorization.

12303280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12303280 is about 3507.6031702574. The cubic root of 12303280 is about 230.8555408205.

The spelling of 12303280 in words is "twelve million, three hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 41 44 55 62 80 82 88 110 121 124 155 164 176 205 220 242 248 310 328 341 410 440 451 484 496 605 620 656 682 820 880 902 968 1210 1240 1271 1364 1640 1705 1804 1936 2255 2420 2480 2542 2728 3280 3410 3608 3751 4510 4840 4961 5084 5456 6355 6820 7216 7502 9020 9680 9922 10168 12710 13640 13981 15004 18040 18755 19844 20336 24805 25420 27280 27962 30008 36080 37510 39688 49610 50840 55924 60016 69905 75020 79376 99220 101680 111848 139810 150040 153791 198440 223696 279620 300080 307582 396880 559240 615164 768955 1118480 1230328 1537910 2460656 3075820 6151640 12303280