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13642047 = 331992539
BaseRepresentation
bin110100000010…
…100100111111
3221200002101000
4310002210333
511443021142
61204221343
7223645506
oct64024477
927602330
1013642047
117778521
12469a853
132a98523
141b5183d
1512e714c
hexd0293f

13642047 has 16 divisors (see below), whose sum is σ = 20320000. Its totient is φ = 9045432.

The previous prime is 13642037. The next prime is 13642067. The reversal of 13642047 is 74024631.

13642047 is a `hidden beast` number, since 13 + 642 + 0 + 4 + 7 = 666.

13642047 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 13642047 - 214 = 13625663 is a prime.

It is a super-2 number, since 2×136420472 = 372210892700418, which contains 22 as substring.

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

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 13642047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642037) 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, 4104 + ... + 6642.

It is an arithmetic number, because the mean of its divisors is an integer number (1270000).

Almost surely, 213642047 is an apocalyptic number.

13642047 is a deficient number, since it is larger than the sum of its proper divisors (6677953).

13642047 is a wasteful number, since it uses less digits than its factorization.

13642047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13642047 is about 3693.5141802896. The cubic root of 13642047 is about 238.9423774064.

Adding to 13642047 its reverse (74024631), we get a palindrome (87666678).

The spelling of 13642047 in words is "thirteen million, six hundred forty-two thousand, forty-seven".

Divisors: 1 3 9 27 199 597 1791 2539 5373 7617 22851 68553 505261 1515783 4547349 13642047