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13827534 = 237714637
BaseRepresentation
bin110100101111…
…110111001110
3222000111210220
4310233313032
512014440114
61212212210
7225350340
oct64576716
928014726
1013827534
117894916
12476a066
132b31a96
141b9d290
1513320a9
hexd2fdce

13827534 has 32 divisors (see below), whose sum is σ = 32057856. Its totient is φ = 3894240.

The previous prime is 13827521. The next prime is 13827557. The reversal of 13827534 is 43572831.

It is a junction number, because it is equal to n+sod(n) for n = 13827495 and 13827504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 5300.

It is an arithmetic number, because the mean of its divisors is an integer number (1001808).

Almost surely, 213827534 is an apocalyptic number.

13827534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13827534 is the 1988-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13827534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028928).

13827534 is an abundant number, since it is smaller than the sum of its proper divisors (18230322).

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

13827534 is a wasteful number, since it uses less digits than its factorization.

13827534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720.

The product of its digits is 20160, while the sum is 33.

The square root of 13827534 is about 3718.5392293211. The cubic root of 13827534 is about 240.0204496464.

It can be divided in two parts, 138 and 27534, that added together give a palindrome (27672).

The spelling of 13827534 in words is "thirteen million, eight hundred twenty-seven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 4637 9274 13911 27822 32459 64918 97377 194754 329227 658454 987681 1975362 2304589 4609178 6913767 13827534