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12991080 = 2335731483
BaseRepresentation
bin110001100011…
…101001101000
3220110000102010
4301203221220
511311203310
61142235520
7215264604
oct61435150
926400363
1012991080
117373433
124425ba0
1328cb13b
141a22504
151219320
hexc63a68

12991080 has 64 divisors (see below), whose sum is σ = 39533760. Its totient is φ = 3414528.

The previous prime is 12991073. The next prime is 12991087. The reversal of 12991080 is 8019921.

It is an interprime number because it is at equal distance from previous prime (12991073) and next prime (12991087).

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 (12991087) 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, 8019 + ... + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (617715).

Almost surely, 212991080 is an apocalyptic number.

12991080 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 12991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19766880).

12991080 is an abundant number, since it is smaller than the sum of its proper divisors (26542680).

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

12991080 is a wasteful number, since it uses less digits than its factorization.

12991080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 12991080 is about 3604.3140817637. The cubic root of 12991080 is about 235.0796772225.

The spelling of 12991080 in words is "twelve million, nine hundred ninety-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1483 1752 2190 2920 2966 4380 4449 5932 7415 8760 8898 11864 14830 17796 22245 29660 35592 44490 59320 88980 108259 177960 216518 324777 433036 541295 649554 866072 1082590 1299108 1623885 2165180 2598216 3247770 4330360 6495540 12991080