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8380 = 225419
BaseRepresentation
bin10000010111100
3102111101
42002330
5232010
6102444
733301
oct20274
912441
108380
116329
124a24
133a78
1430a8
15273a
hex20bc

8380 has 12 divisors (see below), whose sum is σ = 17640. Its totient is φ = 3344.

The previous prime is 8377. The next prime is 8387. The reversal of 8380 is 838.

8380 = T7 + T8 + ... + T36.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 229.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

28380 is an apocalyptic number.

It is an amenable number.

8380 is an abundant number, since it is smaller than the sum of its proper divisors (9260).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820).

8380 is a wasteful number, since it uses less digits than its factorization.

8380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8380 is about 91.5423399308. The cubic root of 8380 is about 20.3117810396.

The spelling of 8380 in words is "eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 419 838 1676 2095 4190 8380