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12904420 = 22519291171
BaseRepresentation
bin110001001110…
…011111100100
3220021121112111
4301032133210
511300420140
61140330404
7214454134
oct61163744
926247474
1012904420
117314311
1243a3a04
13289a869
1419dcac4
1511ed7ea
hexc4e7e4

12904420 has 48 divisors (see below), whose sum is σ = 29534400. Its totient is φ = 4717440.

The previous prime is 12904399. The next prime is 12904447. The reversal of 12904420 is 2440921.

12904420 = T473 + T474 + ... + T567.

It is a junction number, because it is equal to n+sod(n) for n = 12904391 and 12904400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10435 + ... + 11605.

It is an arithmetic number, because the mean of its divisors is an integer number (615300).

Almost surely, 212904420 is an apocalyptic number.

12904420 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 12904420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767200).

12904420 is an abundant number, since it is smaller than the sum of its proper divisors (16629980).

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

12904420 is a wasteful number, since it uses less digits than its factorization.

12904420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12904420 is about 3592.2722613967. The cubic root of 12904420 is about 234.5557928296. Note that the first 3 decimals are identical.

The spelling of 12904420 in words is "twelve million, nine hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 1171 2204 2342 2755 4684 5510 5855 11020 11710 22249 23420 33959 44498 67918 88996 111245 135836 169795 222490 339590 444980 645221 679180 1290442 2580884 3226105 6452210 12904420