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12146316 = 2237313227
BaseRepresentation
bin101110010101…
…011010001100
3211212002121120
4232111122030
511102140231
61112200540
7205146000
oct56253214
924762546
1012146316
116946786
124099150
132693790
141882700
1510edd96
hexb9568c

12146316 has 96 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 3189312.

The previous prime is 12146311. The next prime is 12146317. The reversal of 12146316 is 61364121.

12146316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12146311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53395 + ... + 53621.

It is an arithmetic number, because the mean of its divisors is an integer number (372400).

Almost surely, 212146316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12146316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

12146316 is an abundant number, since it is smaller than the sum of its proper divisors (23604084).

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

12146316 is a wasteful number, since it uses less digits than its factorization.

12146316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 12146316 is about 3485.1565244620. The cubic root of 12146316 is about 229.8695921104.

The spelling of 12146316 in words is "twelve million, one hundred forty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 227 273 294 343 364 454 546 588 637 681 686 908 1029 1092 1274 1362 1372 1589 1911 2058 2548 2724 2951 3178 3822 4116 4459 4767 5902 6356 7644 8853 8918 9534 11123 11804 13377 17706 17836 19068 20657 22246 26754 33369 35412 41314 44492 53508 61971 66738 77861 82628 123942 133476 144599 155722 233583 247884 289198 311444 433797 467166 578396 867594 934332 1012193 1735188 2024386 3036579 4048772 6073158 12146316