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12985536 = 263471439
BaseRepresentation
bin110001100010…
…010011000000
3220102201210210
4301202103000
511311014121
61142154120
7215242464
oct61422300
926381723
1012985536
11736a253
124422940
1328c8765
141a204a4
151217876
hexc624c0

12985536 has 56 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 4233472.

The previous prime is 12985523. The next prime is 12985549. The reversal of 12985536 is 63558921.

It is an interprime number because it is at equal distance from previous prime (12985523) and next prime (12985549).

It is a junction number, because it is equal to n+sod(n) for n = 12985494 and 12985503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8305 + ... + 9743.

Almost surely, 212985536 is an apocalyptic number.

12985536 is a gapful number since it is divisible by the number (16) 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 12985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

12985536 is an abundant number, since it is smaller than the sum of its proper divisors (22127424).

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

12985536 is a wasteful number, since it uses less digits than its factorization.

12985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1491 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 12985536 is about 3603.5449213240. The cubic root of 12985536 is about 235.0462320388.

The spelling of 12985536 in words is "twelve million, nine hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1439 1504 2256 2878 3008 4317 4512 5756 8634 9024 11512 17268 23024 34536 46048 67633 69072 92096 135266 138144 202899 270532 276288 405798 541064 811596 1082128 1623192 2164256 3246384 4328512 6492768 12985536