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8314080 = 253517321
BaseRepresentation
bin11111101101110011100000
3120122101202220
4133231303200
54112022310
6454111040
7130445205
oct37556340
916571686
108314080
114769545
12294b480
131951398
141165cac
15ae3670
hex7edce0

8314080 has 48 divisors (see below), whose sum is σ = 26190864. Its totient is φ = 2216960.

The previous prime is 8314073. The next prime is 8314099. The reversal of 8314080 is 804138.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 8314080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8181 + ... + 9140.

It is an arithmetic number, because the mean of its divisors is an integer number (545643).

Almost surely, 28314080 is an apocalyptic number.

8314080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8314080 is an abundant number, since it is smaller than the sum of its proper divisors (17876784).

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

8314080 is a wasteful number, since it uses less digits than its factorization.

8314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339 (or 17331 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8314080 is about 2883.4146423988. The cubic root of 8314080 is about 202.5838092351.

The spelling of 8314080 in words is "eight million, three hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 17321 34642 51963 69284 86605 103926 138568 173210 207852 259815 277136 346420 415704 519630 554272 692840 831408 1039260 1385680 1662816 2078520 2771360 4157040 8314080