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2604080 = 24543757
BaseRepresentation
bin1001111011110000110000
311220022010102
421323300300
51131312310
6131451532
731064033
oct11736060
94808112
102604080
111519536
12a56ba8
1370239b
144bb01a
153668a5
hex27bc30

2604080 has 40 divisors (see below), whose sum is σ = 6203472. Its totient is φ = 1016064.

The previous prime is 2604079. The next prime is 2604101. The reversal of 2604080 is 804062.

2604080 is digitally balanced in base 2, 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 Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 3062 + ... + 3818.

22604080 is an apocalyptic number.

2604080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101736).

2604080 is an abundant number, since it is smaller than the sum of its proper divisors (3599392).

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

2604080 is a wasteful number, since it uses less digits than its factorization.

2604080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2604080 is about 1613.7162080118. The cubic root of 2604080 is about 137.5787757962.

The spelling of 2604080 in words is "two million, six hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 757 860 1514 1720 3028 3440 3785 6056 7570 12112 15140 30280 32551 60560 65102 130204 162755 260408 325510 520816 651020 1302040 2604080