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8135316 = 2234717211
BaseRepresentation
bin11111000010001010010100
3120022022120000
4133002022110
54040312231
6450211300
7126102060
oct37021224
916268500
108135316
114657202
122883b30
1318babc7
14111aaa0
15aaa6e6
hex7c2294

8135316 has 120 divisors (see below), whose sum is σ = 25857216. Its totient is φ = 2177280.

The previous prime is 8135311. The next prime is 8135329. The reversal of 8135316 is 6135318.

8135316 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (2160) is a multiple of the sum of its prime divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 8135316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8135311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38451 + ... + 38661.

Almost surely, 28135316 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 8135316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928608).

8135316 is an abundant number, since it is smaller than the sum of its proper divisors (17721900).

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

8135316 is a wasteful number, since it uses less digits than its factorization.

8135316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 8135316 is about 2852.2475348398. The cubic root of 8135316 is about 201.1213346270.

The spelling of 8135316 in words is "eight million, one hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 211 238 252 306 324 357 378 422 459 476 567 612 633 714 756 844 918 1071 1134 1266 1377 1428 1477 1836 1899 2142 2268 2532 2754 2954 3213 3587 3798 4284 4431 5508 5697 5908 6426 7174 7596 8862 9639 10761 11394 12852 13293 14348 17091 17724 19278 21522 22788 25109 26586 32283 34182 38556 39879 43044 50218 53172 64566 68364 75327 79758 96849 100436 119637 129132 150654 159516 193698 225981 239274 290547 301308 387396 451962 478548 581094 677943 903924 1162188 1355886 2033829 2711772 4067658 8135316