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12426320 = 245179137
BaseRepresentation
bin101111011001…
…110001010000
3212101022201002
4233121301100
511140120240
61122201132
7210423224
oct57316120
925338632
1012426320
117018095
1241b31a8
13276106a
141916784
151156d15
hexbd9c50

12426320 has 40 divisors (see below), whose sum is σ = 30594024. Its totient is φ = 4677632.

The previous prime is 12426313. The next prime is 12426329. The reversal of 12426320 is 2362421.

12426320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 12222016 = 452^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12426292 and 12426301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209 + ... + 5928.

Almost surely, 212426320 is an apocalyptic number.

12426320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12426320 is an abundant number, since it is smaller than the sum of its proper divisors (18167704).

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

12426320 is a wasteful number, since it uses less digits than its factorization.

12426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12426320 is about 3525.0985801818. The cubic root of 12426320 is about 231.6225531196.

Adding to 12426320 its reverse (2362421), we get a palindrome (14788741).

The spelling of 12426320 in words is "twelve million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9137 18274 36548 45685 73096 91370 146192 155329 182740 310658 365480 621316 730960 776645 1242632 1553290 2485264 3106580 6213160 12426320