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12953660 = 22517311229
BaseRepresentation
bin110001011010…
…100000111100
3220101010002012
4301122200330
511304004120
61141350352
7215050526
oct61324074
926333065
1012953660
117348305
1244083b8
1328b70b5
141a12a16
15120d1c5
hexc5a83c

12953660 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 4715520.

The previous prime is 12953659. The next prime is 12953701. The reversal of 12953660 is 6635921.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 9926 + ... + 11154.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 212953660 is an apocalyptic number.

12953660 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 12953660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

12953660 is an abundant number, since it is smaller than the sum of its proper divisors (16802500).

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

12953660 is a wasteful number, since it uses less digits than its factorization.

12953660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 12953660 is about 3599.1193367267. The cubic root of 12953660 is about 234.8537493509.

The spelling of 12953660 in words is "twelve million, nine hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 1229 2108 2458 2635 4916 5270 6145 10540 12290 20893 24580 38099 41786 76198 83572 104465 152396 190495 208930 380990 417860 647683 761980 1295366 2590732 3238415 6476830 12953660