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12681930 = 2351921171
BaseRepresentation
bin110000011000…
…001011001010
3212212022100010
4300120023022
511221310210
61131452350
7212536362
oct60301312
925768303
1012681930
117182138
1242b70b6
132820501
1419819a2
1511a7920
hexc182ca

12681930 has 48 divisors (see below), whose sum is σ = 32150304. Its totient is φ = 3201120.

The previous prime is 12681871. The next prime is 12681931. The reversal of 12681930 is 3918621.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12681931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10245 + ... + 11415.

It is an arithmetic number, because the mean of its divisors is an integer number (669798).

Almost surely, 212681930 is an apocalyptic number.

12681930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075152).

12681930 is an abundant number, since it is smaller than the sum of its proper divisors (19468374).

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

12681930 is a wasteful number, since it uses less digits than its factorization.

12681930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12681930 is about 3561.1697516406. The cubic root of 12681930 is about 233.1999487087.

The spelling of 12681930 in words is "twelve million, six hundred eighty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1171 1805 2166 2342 3513 3610 5415 5855 7026 10830 11710 17565 22249 35130 44498 66747 111245 133494 222490 333735 422731 667470 845462 1268193 2113655 2536386 4227310 6340965 12681930