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13716140 = 2254143389
BaseRepresentation
bin110100010100…
…101010101100
3221210212000012
4310110222230
512002404030
61205552352
7224404514
oct64245254
927725005
1013716140
117819159
1247156b8
132ac3179
141b70844
15130e095
hexd14aac

13716140 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 5214720.

The previous prime is 13716121. The next prime is 13716149. The reversal of 13716140 is 4161731.

13716140 = T25 + T26 + ... + T434.

It is not an unprimeable number, because it can be changed into a prime (13716149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35066 + ... + 35454.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 213716140 is an apocalyptic number.

13716140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13716140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

13716140 is an abundant number, since it is smaller than the sum of its proper divisors (16554100).

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

13716140 is a wasteful number, since it uses less digits than its factorization.

13716140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 13716140 is about 3703.5307478135. The cubic root of 13716140 is about 239.3741797244.

Adding to 13716140 its reverse (4161731), we get a palindrome (17877871).

The spelling of 13716140 in words is "thirteen million, seven hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 389 410 430 778 820 860 1556 1763 1945 3526 3890 7052 7780 8815 15949 16727 17630 31898 33454 35260 63796 66908 79745 83635 159490 167270 318980 334540 685807 1371614 2743228 3429035 6858070 13716140