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12948660 = 223457993
BaseRepresentation
bin110001011001…
…010010110100
3220100212020000
4301121102310
511303324120
61141311300
7215030124
oct61312264
926325200
1012948660
11734457a
124405530
1328b4a3a
141a10c84
15120b990
hexc594b4

12948660 has 60 divisors (see below), whose sum is σ = 40625508. Its totient is φ = 3452544.

The previous prime is 12948659. The next prime is 12948673. The reversal of 12948660 is 6684921.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 10265616 = 1638^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2377 + ... + 5616.

Almost surely, 212948660 is an apocalyptic number.

12948660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12948660 is an abundant number, since it is smaller than the sum of its proper divisors (27676848).

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

12948660 is a wasteful number, since it uses less digits than its factorization.

12948660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12948660 is about 3598.4246553179. The cubic root of 12948660 is about 234.8235282946.

The spelling of 12948660 in words is "twelve million, nine hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7993 15986 23979 31972 39965 47958 71937 79930 95916 119895 143874 159860 215811 239790 287748 359685 431622 479580 647433 719370 863244 1079055 1294866 1438740 2158110 2589732 3237165 4316220 6474330 12948660