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8071668 = 223211217109
BaseRepresentation
bin11110110010100111110100
3120012002020200
4132302213310
54031243133
6445000500
7125415363
oct36624764
916162220
108071668
114613400
122853130
131897c47
1411017da
15a96913
hex7b29f4

8071668 has 108 divisors (see below), whose sum is σ = 23963940. Its totient is φ = 2280960.

The previous prime is 8071663. The next prime is 8071669. The reversal of 8071668 is 8661708.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 2108304 = 2442^2 + 1452^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8071663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73998 + ... + 74106.

Almost surely, 28071668 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 8071668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981970).

8071668 is an abundant number, since it is smaller than the sum of its proper divisors (15892272).

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

8071668 is a wasteful number, since it uses less digits than its factorization.

8071668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8071668 is about 2841.0681090041. The cubic root of 8071668 is about 200.5954587185.

The spelling of 8071668 in words is "eight million, seventy-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 109 121 132 153 187 198 204 218 242 306 327 363 374 396 436 484 561 612 654 726 748 981 1089 1122 1199 1308 1452 1683 1853 1962 2057 2178 2244 2398 3366 3597 3706 3924 4114 4356 4796 5559 6171 6732 7194 7412 8228 10791 11118 12342 13189 14388 16677 18513 20383 21582 22236 24684 26378 33354 37026 39567 40766 43164 52756 61149 66708 74052 79134 81532 118701 122298 158268 183447 224213 237402 244596 366894 448426 474804 672639 733788 896852 1345278 2017917 2690556 4035834 8071668