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2554080 = 253517313
BaseRepresentation
bin1001101111100011100000
311210202112120
421233203200
51123212310
6130424240
730465204
oct11574340
94722476
102554080
111494a11
12a32080
136b56b9
144a6b04
15356b70
hex26f8e0

2554080 has 96 divisors (see below), whose sum is σ = 8545824. Its totient is φ = 638976.

The previous prime is 2554067. The next prime is 2554087. The reversal of 2554080 is 804552.

2554080 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 (96).

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 2554080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554087) 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 15 ways as a sum of consecutive naturals, for example, 8004 + ... + 8316.

It is an arithmetic number, because the mean of its divisors is an integer number (89019).

22554080 is an apocalyptic number.

2554080 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 2554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272912).

2554080 is an abundant number, since it is smaller than the sum of its proper divisors (5991744).

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

2554080 is a wasteful number, since it uses less digits than its factorization.

2554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2554080 is about 1598.1489292303. The cubic root of 2554080 is about 136.6925458296.

It can be divided in two parts, 255 and 4080, that multiplied together give a square (1040400 = 10202).

The spelling of 2554080 in words is "two million, five hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 313 340 408 480 510 544 626 680 816 939 1020 1252 1360 1565 1632 1878 2040 2504 2720 3130 3756 4080 4695 5008 5321 6260 7512 8160 9390 10016 10642 12520 15024 15963 18780 21284 25040 26605 30048 31926 37560 42568 50080 53210 63852 75120 79815 85136 106420 127704 150240 159630 170272 212840 255408 319260 425680 510816 638520 851360 1277040 2554080