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8220380 = 225771827
BaseRepresentation
bin11111010110111011011100
3120110122020112
4133112323130
54101023010
6452105152
7126605060
oct37267334
916418215
108220380
114705103
1229051b8
13191a83c
14113daa0
15ac5a05
hex7d6edc

8220380 has 48 divisors (see below), whose sum is σ = 20030976. Its totient is φ = 2775360.

The previous prime is 8220379. The next prime is 8220389. The reversal of 8220380 is 830228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220389) 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, 9527 + ... + 10353.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 28220380 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 8220380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015488).

8220380 is an abundant number, since it is smaller than the sum of its proper divisors (11810596).

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

8220380 is a wasteful number, since it uses less digits than its factorization.

8220380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8220380 is about 2867.1205067105. The cubic root of 8220380 is about 201.8198897771.

The spelling of 8220380 in words is "eight million, two hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 827 994 1420 1654 1988 2485 3308 4135 4970 5789 8270 9940 11578 16540 23156 28945 57890 58717 115780 117434 234868 293585 411019 587170 822038 1174340 1644076 2055095 4110190 8220380