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12812660 = 2257711289
BaseRepresentation
bin110000111000…
…000101110100
3220002221122222
4300320011310
511240001120
61134341512
7213622460
oct60700564
926087588
1012812660
117261383
12435a898
132867b73
1419b74a0
1511d1525
hexc38174

12812660 has 48 divisors (see below), whose sum is σ = 31207680. Its totient is φ = 4327680.

The previous prime is 12812647. The next prime is 12812663. The reversal of 12812660 is 6621821.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812663) 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, 9296 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (650160).

Almost surely, 212812660 is an apocalyptic number.

12812660 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 12812660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603840).

12812660 is an abundant number, since it is smaller than the sum of its proper divisors (18395020).

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

12812660 is a wasteful number, since it uses less digits than its factorization.

12812660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12812660 is about 3579.4776155188. The cubic root of 12812660 is about 233.9985146130.

The spelling of 12812660 in words is "twelve million, eight hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1289 1420 1988 2485 2578 4970 5156 6445 9023 9940 12890 18046 25780 36092 45115 90230 91519 180460 183038 366076 457595 640633 915190 1281266 1830380 2562532 3203165 6406330 12812660