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8203380 = 2235472909
BaseRepresentation
bin11111010010110001110100
3120102202220220
4133102301310
54100002010
6451454340
7126504363
oct37226164
916382826
108203380
1146a3359
1228b73b0
131912b93
1411377da
15ac0970
hex7d2c74

8203380 has 48 divisors (see below), whose sum is σ = 23466240. Its totient is φ = 2140288.

The previous prime is 8203379. The next prime is 8203409. The reversal of 8203380 is 833028.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8203380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (488880).

Almost surely, 28203380 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 8203380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733120).

8203380 is an abundant number, since it is smaller than the sum of its proper divisors (15262860).

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

8203380 is a wasteful number, since it uses less digits than its factorization.

8203380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8203380 is about 2864.1543254511. The cubic root of 8203380 is about 201.6806705057.

The spelling of 8203380 in words is "eight million, two hundred three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 2909 5818 8727 11636 14545 17454 29090 34908 43635 58180 87270 136723 174540 273446 410169 546892 683615 820338 1367230 1640676 2050845 2734460 4101690 8203380