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12403880 = 2351722937
BaseRepresentation
bin101111010100…
…010010101000
3212100011220222
4233110102220
511133411010
61121505212
7210300626
oct57242250
925304828
1012403880
117002245
1241a2208
132753a98
14190c516
151150355
hexbd44a8

12403880 has 96 divisors (see below), whose sum is σ = 31498200. Its totient is φ = 4386816.

The previous prime is 12403879. The next prime is 12403883. The reversal of 12403880 is 8830421.

It can be written as a sum of positive squares in 12 ways, for example, as 7086244 + 5317636 = 2662^2 + 2306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403883) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 335222 + ... + 335258.

Almost surely, 212403880 is an apocalyptic number.

12403880 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 12403880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749100).

12403880 is an abundant number, since it is smaller than the sum of its proper divisors (19094320).

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

12403880 is a wasteful number, since it uses less digits than its factorization.

12403880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12403880 is about 3521.9142522214. The cubic root of 12403880 is about 231.4830443478.

The spelling of 12403880 in words is "twelve million, four hundred three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 29 34 37 40 58 68 74 85 116 136 145 148 170 185 232 289 290 296 340 370 493 578 580 629 680 740 986 1073 1156 1160 1258 1445 1480 1972 2146 2312 2465 2516 2890 3145 3944 4292 4930 5032 5365 5780 6290 8381 8584 9860 10693 10730 11560 12580 16762 18241 19720 21386 21460 25160 33524 36482 41905 42772 42920 53465 67048 72964 83810 85544 91205 106930 145928 167620 182410 213860 310097 335240 364820 427720 620194 729640 1240388 1550485 2480776 3100970 6201940 12403880