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12384680 = 2357114021
BaseRepresentation
bin101111001111…
…100110101000
3212022012120212
4233033212220
511132302210
61121240252
7210160640
oct57174650
925265525
1012384680
116a99880
124193088
132748119
141905520
151149805
hexbcf9a8

12384680 has 64 divisors (see below), whose sum is σ = 34750080. Its totient is φ = 3859200.

The previous prime is 12384667. The next prime is 12384683. The reversal of 12384680 is 8648321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12384683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (542970).

Almost surely, 212384680 is an apocalyptic number.

12384680 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 12384680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375040).

12384680 is an abundant number, since it is smaller than the sum of its proper divisors (22365400).

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

12384680 is a wasteful number, since it uses less digits than its factorization.

12384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 12384680 is about 3519.1874062062. The cubic root of 12384680 is about 231.3635449215.

The spelling of 12384680 in words is "twelve million, three hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4021 8042 16084 20105 28147 32168 40210 44231 56294 80420 88462 112588 140735 160840 176924 221155 225176 281470 309617 353848 442310 562940 619234 884620 1125880 1238468 1548085 1769240 2476936 3096170 6192340 12384680