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12486096 = 243374129
BaseRepresentation
bin101111101000…
…010111010000
3212111100201000
4233220113100
511144023341
61123342000
7211062420
oct57502720
925440630
1012486096
117058a97
124221900
13278232c
141930480
1511698b6
hexbe85d0

12486096 has 80 divisors (see below), whose sum is σ = 40969600. Its totient is φ = 3566592.

The previous prime is 12486091. The next prime is 12486107. The reversal of 12486096 is 69068421.

12486096 is a `hidden beast` number, since 1 + 2 + 48 + 609 + 6 = 666.

12486096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12486096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12486091) 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, 960 + ... + 5088.

It is an arithmetic number, because the mean of its divisors is an integer number (512120).

Almost surely, 212486096 is an apocalyptic number.

12486096 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 12486096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484800).

12486096 is an abundant number, since it is smaller than the sum of its proper divisors (28483504).

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

12486096 is a wasteful number, since it uses less digits than its factorization.

12486096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12486096 is about 3533.5670362963. The cubic root of 12486096 is about 231.9933608881.

The spelling of 12486096 in words is "twelve million, four hundred eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4129 8258 12387 16516 24774 28903 33032 37161 49548 57806 66064 74322 86709 99096 111483 115612 148644 173418 198192 222966 231224 260127 297288 346836 445932 462448 520254 594576 693672 780381 891864 1040508 1387344 1560762 1783728 2081016 3121524 4162032 6243048 12486096