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12820423 = 711167997
BaseRepresentation
bin110000111001…
…111111000111
3220010100022111
4300321333013
511240223143
61134441451
7213654220
oct60717707
926110274
1012820423
1172671a0
124363287
13286b565
1419ba247
1511d399d
hexc39fc7

12820423 has 16 divisors (see below), whose sum is σ = 16095744. Its totient is φ = 9920160.

The previous prime is 12820373. The next prime is 12820427. The reversal of 12820423 is 32402821.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12820423 is a prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12820394 and 12820403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12361 + ... + 13357.

It is an arithmetic number, because the mean of its divisors is an integer number (1005984).

Almost surely, 212820423 is an apocalyptic number.

12820423 is a deficient number, since it is larger than the sum of its proper divisors (3275321).

12820423 is a wasteful number, since it uses less digits than its factorization.

12820423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12820423 is about 3580.5618274232. The cubic root of 12820423 is about 234.0457638109.

The spelling of 12820423 in words is "twelve million, eight hundred twenty thousand, four hundred twenty-three".

Divisors: 1 7 11 77 167 997 1169 1837 6979 10967 12859 76769 166499 1165493 1831489 12820423