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8148114 = 234135373
BaseRepresentation
bin11111000101010010010010
3120022222010000
4133011102102
54041214424
6450350430
7126154302
oct37052222
916288100
108148114
114665887
12288b416
1318c3990
141121602
15aae3c9
hex7c5492

8148114 has 80 divisors (see below), whose sum is σ = 20307672. Its totient is φ = 2426112.

The previous prime is 8148089. The next prime is 8148137. The reversal of 8148114 is 4118418.

It can be written as a sum of positive squares in 4 ways, for example, as 6671889 + 1476225 = 2583^2 + 1215^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 111582 + ... + 111654.

Almost surely, 28148114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8148114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10153836).

8148114 is an abundant number, since it is smaller than the sum of its proper divisors (12159558).

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

8148114 is a wasteful number, since it uses less digits than its factorization.

8148114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 8148114 is about 2854.4901471191. The cubic root of 8148114 is about 201.2267434515.

The spelling of 8148114 in words is "eight million, one hundred forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 73 78 81 106 117 146 159 162 219 234 318 351 438 477 657 689 702 949 954 1053 1314 1378 1431 1898 1971 2067 2106 2847 2862 3869 3942 4134 4293 5694 5913 6201 7738 8541 8586 11607 11826 12402 17082 18603 23214 25623 34821 37206 50297 51246 55809 69642 76869 100594 104463 111618 150891 153738 208926 301782 313389 452673 626778 905346 1358019 2716038 4074057 8148114