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13538943 = 3211163839
BaseRepresentation
bin110011101001…
…011001111111
3221110211221100
4303221121333
511431221233
61202104143
7223036065
oct63513177
927424840
1013538943
117708010
12464b053
132a60612
141b26035
1512c6813
hexce967f

13538943 has 24 divisors (see below), whose sum is σ = 21490560. Its totient is φ = 8145360.

The previous prime is 13538933. The next prime is 13538957. The reversal of 13538943 is 34983531.

It is not a de Polignac number, because 13538943 - 26 = 13538879 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13538898 and 13538907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15718 + ... + 16556.

It is an arithmetic number, because the mean of its divisors is an integer number (895440).

Almost surely, 213538943 is an apocalyptic number.

13538943 is a deficient number, since it is larger than the sum of its proper divisors (7951617).

13538943 is a wasteful number, since it uses less digits than its factorization.

13538943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1016 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13538943 is about 3679.5302689338. The cubic root of 13538943 is about 238.3388941384.

It can be divided in two parts, 1353 and 8943, that added together give a triangular number (10296 = T143).

The spelling of 13538943 in words is "thirteen million, five hundred thirty-eight thousand, nine hundred forty-three".

Divisors: 1 3 9 11 33 99 163 489 839 1467 1793 2517 5379 7551 9229 16137 27687 83061 136757 410271 1230813 1504327 4512981 13538943