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12908820 = 2235613527
BaseRepresentation
bin110001001111…
…100100010100
3220021211120110
4301033210110
511301040240
61140403020
7214503021
oct61174424
926254513
1012908820
117317651
1243a6470
13289c872
141a00548
1511eec80
hexc4f914

12908820 has 48 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 3384960.

The previous prime is 12908807. The next prime is 12908849. The reversal of 12908820 is 2880921.

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

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, 1897 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 212908820 is an apocalyptic number.

12908820 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 12908820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

12908820 is an abundant number, since it is smaller than the sum of its proper divisors (23838828).

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

12908820 is a wasteful number, since it uses less digits than its factorization.

12908820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 12908820 is about 3592.8846349417. The cubic root of 12908820 is about 234.5824485081.

The spelling of 12908820 in words is "twelve million, nine hundred eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3527 3660 7054 10581 14108 17635 21162 35270 42324 52905 70540 105810 211620 215147 430294 645441 860588 1075735 1290882 2151470 2581764 3227205 4302940 6454410 12908820