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12151680 = 27356329
BaseRepresentation
bin101110010110…
…101110000000
3211212100222020
4232112232000
511102323210
61112241440
7205200432
oct56265600
924770866
1012151680
11694a812
1240a0280
132696058
141884652
151100770
hexb96b80

12151680 has 64 divisors (see below), whose sum is σ = 38739600. Its totient is φ = 3239936.

The previous prime is 12151679. The next prime is 12151687. The reversal of 12151680 is 8615121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12151680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12151687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245 + ... + 5084.

Almost surely, 212151680 is an apocalyptic number.

12151680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12151680 is an abundant number, since it is smaller than the sum of its proper divisors (26587920).

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

12151680 is an equidigital number, since it uses as much as digits as its factorization.

12151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 12151680 is about 3485.9259888873. The cubic root of 12151680 is about 229.9034251132.

The spelling of 12151680 in words is "twelve million, one hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6329 12658 18987 25316 31645 37974 50632 63290 75948 94935 101264 126580 151896 189870 202528 253160 303792 379740 405056 506320 607584 759480 810112 1012640 1215168 1518960 2025280 2430336 3037920 4050560 6075840 12151680