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12606960 = 243552529
BaseRepresentation
bin110000000101…
…110111110000
3212201111111110
4300011313300
511211410320
61130113320
7212104662
oct60056760
925644443
1012606960
117130883
12427b840
1327c5352
141962532
1511905e0
hexc05df0

12606960 has 40 divisors (see below), whose sum is σ = 39082320. Its totient is φ = 3361792.

The previous prime is 12606949. The next prime is 12606961. The reversal of 12606960 is 6960621.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606961) 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 7 ways as a sum of consecutive naturals, for example, 26025 + ... + 26504.

It is an arithmetic number, because the mean of its divisors is an integer number (977058).

Almost surely, 212606960 is an apocalyptic number.

12606960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12606960 is an abundant number, since it is smaller than the sum of its proper divisors (26475360).

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

12606960 is a wasteful number, since it uses less digits than its factorization.

12606960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52545 (or 52539 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 12606960 is about 3550.6281134470. The cubic root of 12606960 is about 232.7395149958.

The spelling of 12606960 in words is "twelve million, six hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 52529 105058 157587 210116 262645 315174 420232 525290 630348 787935 840464 1050580 1260696 1575870 2101160 2521392 3151740 4202320 6303480 12606960