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12477216 = 253129971
BaseRepresentation
bin101111100110…
…001100100000
3212110220112010
4233212030200
511143232331
61123232520
7211024503
oct57461440
925426463
1012477216
117052354
124218740
13277b28b
14192b13a
151166e46
hexbe6320

12477216 has 24 divisors (see below), whose sum is σ = 32752944. Its totient is φ = 4159040.

The previous prime is 12477203. The next prime is 12477217. The reversal of 12477216 is 61277421.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×124772162 = 311361838221312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12477217) 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 3 ways as a sum of consecutive naturals, for example, 64890 + ... + 65081.

It is an arithmetic number, because the mean of its divisors is an integer number (1364706).

Almost surely, 212477216 is an apocalyptic number.

12477216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12477216 is an abundant number, since it is smaller than the sum of its proper divisors (20275728).

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

12477216 is a wasteful number, since it uses less digits than its factorization.

12477216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129984 (or 129976 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 12477216 is about 3532.3102921459. The cubic root of 12477216 is about 231.9383506428.

The spelling of 12477216 in words is "twelve million, four hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129971 259942 389913 519884 779826 1039768 1559652 2079536 3119304 4159072 6238608 12477216