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12916071 = 337371847
BaseRepresentation
bin110001010001…
…010101100111
3220022012112000
4301101111213
511301303241
61140500343
7214533120
oct61212547
926265460
1012916071
117322043
1243aa6b3
1328a2c5c
141a03047
151201eb6
hexc51567

12916071 has 32 divisors (see below), whose sum is σ = 22471680. Its totient is φ = 7177248.

The previous prime is 12916069. The next prime is 12916093. The reversal of 12916071 is 17061921.

12916071 = 9542 + 9552 + ... + 9672.

12916071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12916071 - 21 = 12916069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12916051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6070 + ... + 7916.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 212916071 is an apocalyptic number.

12916071 is a deficient number, since it is larger than the sum of its proper divisors (9555609).

12916071 is a wasteful number, since it uses less digits than its factorization.

12916071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 12916071 is about 3593.8935710452. The cubic root of 12916071 is about 234.6263626421.

Adding to 12916071 its reverse (17061921), we get a palindrome (29977992).

The spelling of 12916071 in words is "twelve million, nine hundred sixteen thousand, seventy-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 1847 2331 5541 6993 12929 16623 38787 49869 68339 116361 205017 349083 478373 615051 1435119 1845153 4305357 12916071