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12684020 = 22519291151
BaseRepresentation
bin110000011000…
…101011110100
3212212102012112
4300120223310
511221342040
61131510152
7212545436
oct60305364
925772175
1012684020
117183768
1242b8358
13282144b
141982656
1511a8365
hexc18af4

12684020 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4636800.

The previous prime is 12684019. The next prime is 12684029. The reversal of 12684020 is 2048621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12684029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10445 + ... + 11595.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 212684020 is an apocalyptic number.

12684020 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 12684020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12684020 is an abundant number, since it is smaller than the sum of its proper divisors (16346380).

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

12684020 is a wasteful number, since it uses less digits than its factorization.

12684020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12684020 is about 3561.4631824575. The cubic root of 12684020 is about 233.2127585655.

The spelling of 12684020 in words is "twelve million, six hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 1151 2204 2302 2755 4604 5510 5755 11020 11510 21869 23020 33379 43738 66758 87476 109345 133516 166895 218690 333790 437380 634201 667580 1268402 2536804 3171005 6342010 12684020