Search a number
-
+
12920831 = 711315413
BaseRepresentation
bin110001010010…
…011111111111
3220022110001022
4301102133333
511301431311
61140534355
7214553030
oct61223777
926273038
1012920831
117325680
1243b13bb
1328a5181
141a04a87
1512035db
hexc527ff

12920831 has 16 divisors (see below), whose sum is σ = 16631808. Its totient is φ = 9741600.

The previous prime is 12920827. The next prime is 12920839. The reversal of 12920831 is 13802921.

It is not a de Polignac number, because 12920831 - 22 = 12920827 is a prime.

It is a super-2 number, since 2×129208312 = 333895747461122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12920831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920839) 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, 320 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (1039488).

Almost surely, 212920831 is an apocalyptic number.

12920831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12920831 is a deficient number, since it is larger than the sum of its proper divisors (3710977).

12920831 is a wasteful number, since it uses less digits than its factorization.

12920831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 12920831 is about 3594.5557444558. Note that the first 3 decimals coincide. The cubic root of 12920831 is about 234.6551816309.

The spelling of 12920831 in words is "twelve million, nine hundred twenty thousand, eight hundred thirty-one".

Divisors: 1 7 11 31 77 217 341 2387 5413 37891 59543 167803 416801 1174621 1845833 12920831