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12382620 = 2235474391
BaseRepresentation
bin101111001111…
…000110011100
3212022002202120
4233033012130
511132220440
61121222540
7210151635
oct57170634
925262676
1012382620
116a98278
124191a50
1327471c3
14190488c
151148dd0
hexbcf19c

12382620 has 48 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 3231040.

The previous prime is 12382589. The next prime is 12382631. The reversal of 12382620 is 2628321.

It is a congruent number.

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, 625 + ... + 5015.

It is an arithmetic number, because the mean of its divisors is an integer number (737856).

Almost surely, 212382620 is an apocalyptic number.

12382620 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 12382620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708544).

12382620 is an abundant number, since it is smaller than the sum of its proper divisors (23034468).

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

12382620 is a wasteful number, since it uses less digits than its factorization.

12382620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12382620 is about 3518.8947128324. The cubic root of 12382620 is about 231.3507162942.

The spelling of 12382620 in words is "twelve million, three hundred eighty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4391 8782 13173 17564 21955 26346 43910 52692 65865 87820 131730 206377 263460 412754 619131 825508 1031885 1238262 2063770 2476524 3095655 4127540 6191310 12382620