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7138516 = 227311243
BaseRepresentation
bin11011001110110011010100
3111102200012111
4123032303110
53311413031
6413000404
7114451000
oct33166324
914380174
107138516
114036300
122483104
13162c298
14d3b700
159601b1
hex6cecd4

7138516 has 72 divisors (see below), whose sum is σ = 16385600. Its totient is φ = 2716560.

The previous prime is 7138513. The next prime is 7138541. The reversal of 7138516 is 6158317.

Its product of digits (5040) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7138513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165991 + ... + 166033.

Almost surely, 27138516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192800).

7138516 is an abundant number, since it is smaller than the sum of its proper divisors (9247084).

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

7138516 is a wasteful number, since it uses less digits than its factorization.

7138516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 7138516 is about 2671.8001422262. The cubic root of 7138516 is about 192.5466553581.

It can be divided in two parts, 713 and 8516, that added together give a palindrome (9229).

The spelling of 7138516 in words is "seven million, one hundred thirty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 121 154 172 196 242 301 308 343 473 484 539 602 686 847 946 1078 1204 1372 1694 1892 2107 2156 3311 3388 3773 4214 5203 5929 6622 7546 8428 10406 11858 13244 14749 15092 20812 23177 23716 29498 36421 41503 46354 58996 72842 83006 92708 145684 162239 166012 254947 324478 509894 648956 1019788 1784629 3569258 7138516