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12396528 = 2432312777
BaseRepresentation
bin101111010010…
…011111110000
3212022210211200
4233102133300
511133142103
61121411200
7210240324
oct57223760
925283750
1012396528
116aa7771
124199b00
132750631
141909984
15114d0a3
hexbd27f0

12396528 has 60 divisors (see below), whose sum is σ = 35825088. Its totient is φ = 3997440.

The previous prime is 12396511. The next prime is 12396533. The reversal of 12396528 is 82569321.

12396528 is a `hidden beast` number, since 123 + 9 + 6 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12396492 and 12396501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3076 + ... + 5852.

Almost surely, 212396528 is an apocalyptic number.

12396528 is a gapful number since it is divisible by the number (18) 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 12396528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912544).

12396528 is an abundant number, since it is smaller than the sum of its proper divisors (23428560).

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

12396528 is a wasteful number, since it uses less digits than its factorization.

12396528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2813 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12396528 is about 3520.8703469455. The cubic root of 12396528 is about 231.4373006048.

The spelling of 12396528 in words is "twelve million, three hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2777 4464 5554 8331 11108 16662 22216 24993 33324 44432 49986 66648 86087 99972 133296 172174 199944 258261 344348 399888 516522 688696 774783 1033044 1377392 1549566 2066088 3099132 4132176 6198264 12396528