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2554960 = 245109293
BaseRepresentation
bin1001101111110001010000
311210210202011
421233301100
51123224320
6130432304
730500602
oct11576120
94723664
102554960
111495641
12a32694
136b5c15
144a7172
1535705a
hex26fc50

2554960 has 40 divisors (see below), whose sum is σ = 6015240. Its totient is φ = 1009152.

The previous prime is 2554921. The next prime is 2554963. The reversal of 2554960 is 694552.

2554960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 1498176 = 1028^2 + 1224^2 .

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554963) 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, 8574 + ... + 8866.

It is an arithmetic number, because the mean of its divisors is an integer number (150381).

22554960 is an apocalyptic number.

2554960 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 2554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007620).

2554960 is an abundant number, since it is smaller than the sum of its proper divisors (3460280).

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

2554960 is a wasteful number, since it uses less digits than its factorization.

2554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2554960 is about 1598.4242240407. The cubic root of 2554960 is about 136.7082430184.

The spelling of 2554960 in words is "two million, five hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 293 436 545 586 872 1090 1172 1465 1744 2180 2344 2930 4360 4688 5860 8720 11720 23440 31937 63874 127748 159685 255496 319370 510992 638740 1277480 2554960