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8207380 = 2254110009
BaseRepresentation
bin11111010011110000010100
3120102222102001
4133103300110
54100114010
6451525044
7126522136
oct37236024
916388361
108207380
1146a6365
1228b9784
13191494c
141139056
15ac1c3a
hex7d3c14

8207380 has 24 divisors (see below), whose sum is σ = 17657640. Its totient is φ = 3202560.

The previous prime is 8207371. The next prime is 8207383. The reversal of 8207380 is 837028.

It is a happy number.

8207380 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 1258884 + 6948496 = 1122^2 + 2636^2 .

It is a super-2 number, since 2×82073802 = 134722172928800, which contains 22 as substring.

8207380 is a modest number, since divided by 7380 gives 820 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8207383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4185 + ... + 5824.

It is an arithmetic number, because the mean of its divisors is an integer number (735735).

Almost surely, 28207380 is an apocalyptic number.

It is an amenable number.

8207380 is an abundant number, since it is smaller than the sum of its proper divisors (9450260).

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

8207380 is a wasteful number, since it uses less digits than its factorization.

8207380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 8207380 is about 2864.8525267455. The cubic root of 8207380 is about 201.7134452724.

It can be divided in two parts, 820 and 7380, that multiplied together give a square (6051600 = 24602).

The spelling of 8207380 in words is "eight million, two hundred seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 10009 20018 40036 50045 100090 200180 410369 820738 1641476 2051845 4103690 8207380