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12071680 = 2859431
BaseRepresentation
bin101110000011…
…001100000000
3211201022020021
4232003030000
511042243210
61110423224
7204415255
oct56031400
924638207
1012071680
1168a56a5
124061b14
13266880a
14186342c
1510d6bda
hexb83300

12071680 has 36 divisors (see below), whose sum is σ = 28918512. Its totient is φ = 4828160.

The previous prime is 12071663. The next prime is 12071681. The reversal of 12071680 is 8617021.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12071681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3436 + ... + 5995.

It is an arithmetic number, because the mean of its divisors is an integer number (803292).

Almost surely, 212071680 is an apocalyptic number.

12071680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12071680 is an abundant number, since it is smaller than the sum of its proper divisors (16846832).

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

12071680 is an frugal number, since it uses more digits than its factorization.

12071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12071680 is about 3474.4323277336. The cubic root of 12071680 is about 229.3977945110.

The spelling of 12071680 in words is "twelve million, seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9431 18862 37724 47155 75448 94310 150896 188620 301792 377240 603584 754480 1207168 1508960 2414336 3017920 6035840 12071680