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6802480 = 245233697
BaseRepresentation
bin11001111100110000110000
3110210121020201
4121330300300
53220134410
6401444544
7111551206
oct31746060
913717221
106802480
113926893
122340754
131542349
14c91076
158e583a
hex67cc30

6802480 has 40 divisors (see below), whose sum is σ = 16507872. Its totient is φ = 2601984.

The previous prime is 6802469. The next prime is 6802483. The reversal of 6802480 is 842086.

6802480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (6802483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 3688.

Almost surely, 26802480 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 6802480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253936).

6802480 is an abundant number, since it is smaller than the sum of its proper divisors (9705392).

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

6802480 is a wasteful number, since it uses less digits than its factorization.

6802480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 6802480 is about 2608.1564370260. The cubic root of 6802480 is about 189.4766762577.

It can be divided in two parts, 680 and 2480, that added together give a triangular number (3160 = T79).

The spelling of 6802480 in words is "six million, eight hundred two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 3697 7394 14788 18485 29576 36970 59152 73940 85031 147880 170062 295760 340124 425155 680248 850310 1360496 1700620 3401240 6802480