Search a number
-
+
8380660 = 225171572
BaseRepresentation
bin11111111110000011110100
3120202210002211
4133332003310
54121140120
6455343204
7131143261
oct37760364
916683084
108380660
114804572
122981b04
131975792
141182268
15b0825a
hex7fe0f4

8380660 has 36 divisors (see below), whose sum is σ = 18754092. Its totient is φ = 3134976.

The previous prime is 8380649. The next prime is 8380661. The reversal of 8380660 is 660838.

It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 8225424 = 394^2 + 2868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53302 + ... + 53458.

It is an arithmetic number, because the mean of its divisors is an integer number (520947).

Almost surely, 28380660 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 8380660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377046).

8380660 is an abundant number, since it is smaller than the sum of its proper divisors (10373432).

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

8380660 is a wasteful number, since it uses less digits than its factorization.

8380660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 8380660 is about 2894.9369595900. The cubic root of 8380660 is about 203.1231427049.

The spelling of 8380660 in words is "eight million, three hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2669 3140 5338 10676 13345 24649 26690 49298 53380 98596 123245 246490 419033 492980 838066 1676132 2095165 4190330 8380660