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12871488 = 263761157
BaseRepresentation
bin110001000110…
…011101000000
3220012221100210
4301012131000
511243341423
61135514120
7214256130
oct61063500
926187323
1012871488
1172a15a3
124388940
132888886
1419d0ac0
1511e3b93
hexc46740

12871488 has 112 divisors (see below), whose sum is σ = 39810944. Its totient is φ = 3594240.

The previous prime is 12871487. The next prime is 12871489. The reversal of 12871488 is 88417821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12871487) and next prime (12871489).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12871487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81906 + ... + 82062.

Almost surely, 212871488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12871488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905472).

12871488 is an abundant number, since it is smaller than the sum of its proper divisors (26939456).

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

12871488 is a wasteful number, since it uses less digits than its factorization.

12871488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 12871488 is about 3587.6856049548. The cubic root of 12871488 is about 234.3560945462.

It can be divided in two parts, 1287 and 1488, that added together give a triangular number (2775 = T74).

The spelling of 12871488 in words is "twelve million, eight hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 157 168 183 192 224 244 314 336 366 427 448 471 488 628 672 732 854 942 976 1099 1256 1281 1344 1464 1708 1884 1952 2198 2512 2562 2928 3297 3416 3768 3904 4396 5024 5124 5856 6594 6832 7536 8792 9577 10048 10248 11712 13188 13664 15072 17584 19154 20496 26376 27328 28731 30144 35168 38308 40992 52752 57462 67039 70336 76616 81984 105504 114924 134078 153232 201117 211008 229848 268156 306464 402234 459696 536312 612928 804468 919392 1072624 1608936 1838784 2145248 3217872 4290496 6435744 12871488