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12978060 = 22351631327
BaseRepresentation
bin110001100000…
…011110001100
3220102100112220
4301200132030
511310244220
61142055340
7215211624
oct61403614
926370486
1012978060
117364677
12441a550
1328c5234
141a1b884
151215540
hexc6078c

12978060 has 48 divisors (see below), whose sum is σ = 36589056. Its totient is φ = 3436992.

The previous prime is 12978059. The next prime is 12978067. The reversal of 12978060 is 6087921.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12978067) 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, 9117 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (762272).

Almost surely, 212978060 is an apocalyptic number.

12978060 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 12978060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294528).

12978060 is an abundant number, since it is smaller than the sum of its proper divisors (23610996).

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

12978060 is a wasteful number, since it uses less digits than its factorization.

12978060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12978060 is about 3602.5074600894. The cubic root of 12978060 is about 235.0011166387.

The spelling of 12978060 in words is "twelve million, nine hundred seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1327 1630 1956 2445 2654 3260 3981 4890 5308 6635 7962 9780 13270 15924 19905 26540 39810 79620 216301 432602 648903 865204 1081505 1297806 2163010 2595612 3244515 4326020 6489030 12978060