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8102380 = 22511132833
BaseRepresentation
bin11110111010000111101100
3120020122101011
4132322013230
54033234010
6445355004
7125604046
oct36720754
916218334
108102380
114634490
122868a64
1318a8c10
14110ca96
15aa0a8a
hex7ba1ec

8102380 has 48 divisors (see below), whose sum is σ = 19996704. Its totient is φ = 2718720.

The previous prime is 8102363. The next prime is 8102383. The reversal of 8102380 is 832018.

8102380 = T625 + T626 + ... + T663.

8102380 = 2262 + 2272 + ... + 3292.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (8102383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 4276.

It is an arithmetic number, because the mean of its divisors is an integer number (416598).

Almost surely, 28102380 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 8102380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998352).

8102380 is an abundant number, since it is smaller than the sum of its proper divisors (11894324).

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

8102380 is a wasteful number, since it uses less digits than its factorization.

8102380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8102380 is about 2846.4679868216. The cubic root of 8102380 is about 200.8495528567.

Adding to 8102380 its reverse (832018), we get a palindrome (8934398).

The spelling of 8102380 in words is "eight million, one hundred two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2833 2860 5666 11332 14165 28330 31163 36829 56660 62326 73658 124652 147316 155815 184145 311630 368290 405119 623260 736580 810238 1620476 2025595 4051190 8102380