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12606640 = 245374259
BaseRepresentation
bin110000000101…
…110010110000
3212201111001121
4300011302300
511211403030
61130112024
7212104024
oct60056260
925644047
1012606640
117130612
12427b614
1327c5167
141962384
15119047a
hexc05cb0

12606640 has 40 divisors (see below), whose sum is σ = 30109680. Its totient is φ = 4905216.

The previous prime is 12606631. The next prime is 12606641. The reversal of 12606640 is 4660621.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12606641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 5089.

It is an arithmetic number, because the mean of its divisors is an integer number (752742).

Almost surely, 212606640 is an apocalyptic number.

12606640 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 12606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054840).

12606640 is an abundant number, since it is smaller than the sum of its proper divisors (17503040).

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

12606640 is a wasteful number, since it uses less digits than its factorization.

12606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 12606640 is about 3550.5830507115. The cubic root of 12606640 is about 232.7375457853.

The spelling of 12606640 in words is "twelve million, six hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4259 8518 17036 21295 34072 42590 68144 85180 157583 170360 315166 340720 630332 787915 1260664 1575830 2521328 3151660 6303320 12606640