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12883440 = 243553681
BaseRepresentation
bin110001001001…
…010111110000
3220020112202110
4301021113300
511244232230
61140045320
7214336023
oct61112760
926215673
1012883440
1172aa579
124393840
13289114b
1419d51ba
1511e74b0
hexc495f0

12883440 has 40 divisors (see below), whose sum is σ = 39939408. Its totient is φ = 3435520.

The previous prime is 12883439. The next prime is 12883477. The reversal of 12883440 is 4438821.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 12883398 and 12883407.

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 7 ways as a sum of consecutive naturals, for example, 26601 + ... + 27080.

Almost surely, 212883440 is an apocalyptic number.

12883440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12883440 is an abundant number, since it is smaller than the sum of its proper divisors (27055968).

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

12883440 is a wasteful number, since it uses less digits than its factorization.

12883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53697 (or 53691 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 12883440 is about 3589.3509162521. The cubic root of 12883440 is about 234.4286103142.

The spelling of 12883440 in words is "twelve million, eight hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 53681 107362 161043 214724 268405 322086 429448 536810 644172 805215 858896 1073620 1288344 1610430 2147240 2576688 3220860 4294480 6441720 12883440