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8220480 = 26358563
BaseRepresentation
bin11111010110111101000000
3120110122101020
4133112331000
54101023410
6452105440
7126605262
oct37267500
916418336
108220480
114705194
122905280
13191a8b8
14113db32
15ac5a70
hex7d6f40

8220480 has 56 divisors (see below), whose sum is σ = 26103072. Its totient is φ = 2191872.

The previous prime is 8220461. The next prime is 8220481. The reversal of 8220480 is 840228.

It is a super-3 number, since 3×82204803 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8220480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3322 + ... + 5241.

Almost surely, 28220480 is an apocalyptic number.

8220480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8220480 is an abundant number, since it is smaller than the sum of its proper divisors (17882592).

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

8220480 is a wasteful number, since it uses less digits than its factorization.

8220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8220480 is about 2867.1379457571. The cubic root of 8220480 is about 201.8207081458.

The spelling of 8220480 in words is "eight million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 8563 17126 25689 34252 42815 51378 68504 85630 102756 128445 137008 171260 205512 256890 274016 342520 411024 513780 548032 685040 822048 1027560 1370080 1644096 2055120 2740160 4110240 8220480