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13971042 = 235171989
BaseRepresentation
bin110101010010…
…111001100010
3222021210200000
4311102321202
512034033132
61215240430
7226515621
oct65227142
928253600
1013971042
117982718
124819116
132b821b7
141bd96b8
15135e87c
hexd52e62

13971042 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4105728.

The previous prime is 13971017. The next prime is 13971047. The reversal of 13971042 is 24017931.

13971042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13970997 and 13971015.

It is not an unprimeable number, because it can be changed into a prime (13971047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156934 + ... + 157022.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 213971042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13971042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13971042 is an abundant number, since it is smaller than the sum of its proper divisors (21409758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13971042 is a wasteful number, since it uses less digits than its factorization.

13971042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13971042 is about 3737.7857081433. The cubic root of 13971042 is about 240.8479381423.

Adding to 13971042 its reverse (24017931), we get a palindrome (37988973).

The spelling of 13971042 in words is "thirteen million, nine hundred seventy-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 89 102 114 153 162 171 178 243 267 306 323 342 459 486 513 534 646 801 918 969 1026 1377 1513 1539 1602 1691 1938 2403 2754 2907 3026 3078 3382 4131 4539 4617 4806 5073 5814 7209 8262 8721 9078 9234 10146 13617 14418 15219 17442 21627 26163 27234 28747 30438 40851 43254 45657 52326 57494 78489 81702 86241 91314 122553 136971 156978 172482 245106 258723 273942 367659 410913 517446 735318 776169 821826 1552338 2328507 4657014 6985521 13971042