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8013681 = 331317279
BaseRepresentation
bin11110100100011101110001
3120002010201000
4132210131301
54022414211
6443432213
7125054334
oct36443561
916063630
108013681
114583885
122825669
131877730
1410c861b
15a84656
hex7a4771

8013681 has 48 divisors (see below), whose sum is σ = 13753600. Its totient is φ = 4582656.

The previous prime is 8013679. The next prime is 8013689. The reversal of 8013681 is 1863108.

It is not a de Polignac number, because 8013681 - 21 = 8013679 is a prime.

It is a super-2 number, since 2×80136812 = 128438166339522, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013689) 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 47 ways as a sum of consecutive naturals, for example, 101400 + ... + 101478.

Almost surely, 28013681 is an apocalyptic number.

It is an amenable number.

8013681 is a deficient number, since it is larger than the sum of its proper divisors (5739919).

8013681 is a wasteful number, since it uses less digits than its factorization.

8013681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8013681 is about 2830.8445736211. The cubic root of 8013681 is about 200.1139434055.

Adding to 8013681 its reverse (1863108), we get a palindrome (9876789).

The spelling of 8013681 in words is "eight million, thirteen thousand, six hundred eighty-one".

Divisors: 1 3 9 13 17 27 39 51 79 117 153 221 237 289 351 459 663 711 867 1027 1343 1989 2133 2601 3081 3757 4029 5967 7803 9243 11271 12087 17459 22831 27729 33813 36261 52377 68493 101439 157131 205479 296803 471393 616437 890409 2671227 8013681