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2626080 = 25355471
BaseRepresentation
bin1010000001001000100000
311221102022020
422001020200
51133013310
6132141440
731215132
oct12011040
94842266
102626080
111534016
12a67880
1370c3c2
144c5052
1536d170
hex281220

2626080 has 48 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 700160.

The previous prime is 2626079. The next prime is 2626087. The reversal of 2626080 is 806262.

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

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

It is a d-powerful number, because it can be written as 211 + 64 + 219 + 64 + 0 + 87 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2626080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2256 + ... + 3215.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

22626080 is an apocalyptic number.

2626080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2626080 is an abundant number, since it is smaller than the sum of its proper divisors (5647584).

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

2626080 is a wasteful number, since it uses less digits than its factorization.

2626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2626080 is about 1620.5184355631. The cubic root of 2626080 is about 137.9651245623.

It can be divided in two parts, 26 and 26080, that added together give a triangular number (26106 = T228).

The spelling of 2626080 in words is "two million, six hundred twenty-six 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 5471 10942 16413 21884 27355 32826 43768 54710 65652 82065 87536 109420 131304 164130 175072 218840 262608 328260 437680 525216 656520 875360 1313040 2626080