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12785216 = 261071867
BaseRepresentation
bin110000110001…
…011001000000
3220001120000112
4300301121000
511233111331
61134010452
7213446453
oct60613100
926046015
1012785216
1172427a4
124346a28
132858522
1419ab49a
1511c832b
hexc31640

12785216 has 28 divisors (see below), whose sum is σ = 25621488. Its totient is φ = 6329472.

The previous prime is 12785209. The next prime is 12785221. The reversal of 12785216 is 61258721.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5915 + ... + 7781.

Almost surely, 212785216 is an apocalyptic number.

12785216 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 12785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810744).

12785216 is an abundant number, since it is smaller than the sum of its proper divisors (12836272).

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

12785216 is a wasteful number, since it uses less digits than its factorization.

12785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1976 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 12785216 is about 3575.6420402496. The cubic root of 12785216 is about 233.8313246154.

The spelling of 12785216 in words is "twelve million, seven hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 1867 3424 3734 6848 7468 14936 29872 59744 119488 199769 399538 799076 1598152 3196304 6392608 12785216