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12303920 = 2451783109
BaseRepresentation
bin101110111011…
…111000110000
3212011002210202
4232323320300
511122211140
61115414332
7206403326
oct56737060
925132722
1012303920
116a44132
1241543a8
13271a435
1418c3d16
151130915
hexbbbe30

12303920 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 4534272.

The previous prime is 12303911. The next prime is 12303953. The reversal of 12303920 is 2930321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12303892 and 12303901.

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, 112826 + ... + 112934.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 212303920 is an apocalyptic number.

12303920 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 12303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

12303920 is an abundant number, since it is smaller than the sum of its proper divisors (18631600).

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

12303920 is a wasteful number, since it uses less digits than its factorization.

12303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 12303920 is about 3507.6943994596. The cubic root of 12303920 is about 230.8595436822.

The spelling of 12303920 in words is "twelve million, three hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 109 136 166 170 218 272 332 340 415 436 545 664 680 830 872 1090 1328 1360 1411 1660 1744 1853 2180 2822 3320 3706 4360 5644 6640 7055 7412 8720 9047 9265 11288 14110 14824 18094 18530 22576 28220 29648 36188 37060 45235 56440 72376 74120 90470 112880 144752 148240 153799 180940 307598 361880 615196 723760 768995 1230392 1537990 2460784 3075980 6151960 12303920