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12450816 = 210327193
BaseRepresentation
bin101111011111…
…110000000000
3212102120022100
4233133300000
511141411231
61122510400
7210554520
oct57376000
925376270
1012450816
117034534
124205400
13276c261
141921680
15115e1e6
hexbdfc00

12450816 has 132 divisors (see below), whose sum is σ = 41300272. Its totient is φ = 3538944.

The previous prime is 12450793. The next prime is 12450847. The reversal of 12450816 is 61805421.

12450816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12450816.

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, 64416 + ... + 64608.

Almost surely, 212450816 is an apocalyptic number.

12450816 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 12450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20650136).

12450816 is an abundant number, since it is smaller than the sum of its proper divisors (28849456).

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

12450816 is a wasteful number, since it uses less digits than its factorization.

12450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12450816 is about 3528.5713823019. The cubic root of 12450816 is about 231.7746523700.

The spelling of 12450816 in words is "twelve million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 193 224 252 256 288 336 384 386 448 504 512 576 579 672 768 772 896 1008 1024 1152 1158 1344 1351 1536 1544 1737 1792 2016 2304 2316 2688 2702 3072 3088 3474 3584 4032 4053 4608 4632 5376 5404 6176 6948 7168 8064 8106 9216 9264 10752 10808 12159 12352 13896 16128 16212 18528 21504 21616 24318 24704 27792 32256 32424 37056 43232 48636 49408 55584 64512 64848 74112 86464 97272 98816 111168 129696 148224 172928 194544 197632 222336 259392 296448 345856 389088 444672 518784 592896 691712 778176 889344 1037568 1383424 1556352 1778688 2075136 3112704 4150272 6225408 12450816