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12903520 = 255741281
BaseRepresentation
bin110001001110…
…010001100000
3220021120022011
4301032101200
511300403040
61140322304
7214451410
oct61162140
926246264
1012903520
117313673
1243a3394
13289a326
1419dc640
1511ed3ea
hexc4e460

12903520 has 96 divisors (see below), whose sum is σ = 35816256. Its totient is φ = 4300800.

The previous prime is 12903511. The next prime is 12903557. The reversal of 12903520 is 2530921.

It is a junction number, because it is equal to n+sod(n) for n = 12903491 and 12903500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45780 + ... + 46060.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 212903520 is an apocalyptic number.

12903520 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 12903520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908128).

12903520 is an abundant number, since it is smaller than the sum of its proper divisors (22912736).

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

12903520 is a wasteful number, since it uses less digits than its factorization.

12903520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 12903520 is about 3592.1469903109. The cubic root of 12903520 is about 234.5503397853.

The spelling of 12903520 in words is "twelve million, nine hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 281 287 328 410 560 562 574 656 820 1120 1124 1148 1312 1405 1435 1640 1967 2248 2296 2810 2870 3280 3934 4496 4592 5620 5740 6560 7868 8992 9184 9835 11240 11480 11521 15736 19670 22480 22960 23042 31472 39340 44960 45920 46084 57605 62944 78680 80647 92168 115210 157360 161294 184336 230420 314720 322588 368672 403235 460840 645176 806470 921680 1290352 1612940 1843360 2580704 3225880 6451760 12903520