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8102325 = 3527112361
BaseRepresentation
bin11110111010000110110101
3120020122022010
4132322012311
54033233300
6445354433
7125603640
oct36720665
916218263
108102325
114634440
122868a19
1318a8b9a
14110ca57
15aa0a50
hex7ba1b5

8102325 has 96 divisors (see below), whose sum is σ = 17713152. Its totient is φ = 3168000.

The previous prime is 8102323. The next prime is 8102351. The reversal of 8102325 is 5232018.

8102325 is a nontrivial binomial coefficient, being equal to C(4026, 2).

It is not a de Polignac number, because 8102325 - 21 = 8102323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132795 + ... + 132855.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 28102325 is an apocalyptic number.

8102325 is the 4025-th triangular number and also the 2013-rd hexagonal number.

It is an amenable number.

8102325 is an abundant number, since it is smaller than the sum of its proper divisors (9610827).

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

8102325 is a wasteful number, since it uses less digits than its factorization.

8102325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8102325 is about 2846.4583257093. The cubic root of 8102325 is about 200.8490983915.

The spelling of 8102325 in words is "eight million, one hundred two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 23 25 33 35 55 61 69 75 77 105 115 161 165 175 183 231 253 275 305 345 385 427 483 525 575 671 759 805 825 915 1155 1265 1281 1403 1525 1725 1771 1925 2013 2135 2415 3355 3795 4025 4209 4575 4697 5313 5775 6325 6405 7015 8855 9821 10065 10675 12075 14091 15433 16775 18975 21045 23485 26565 29463 32025 35075 44275 46299 49105 50325 70455 77165 105225 108031 117425 132825 147315 231495 245525 324093 352275 385825 540155 736575 1157475 1620465 2700775 8102325