Search a number
-
+
2755040 = 25567257
BaseRepresentation
bin1010100000100111100000
312011222012112
422200213200
51201130130
6135014452
732263121
oct12404740
95158175
102755040
1116119a2
12b0a428
13756002
1451a048
15396495
hex2a09e0

2755040 has 48 divisors (see below), whose sum is σ = 6631632. Its totient is φ = 1081344.

The previous prime is 2755033. The next prime is 2755043. The reversal of 2755040 is 405572.

It is a junction number, because it is equal to n+sod(n) for n = 2754997 and 2755015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10592 + ... + 10848.

It is an arithmetic number, because the mean of its divisors is an integer number (138159).

22755040 is an apocalyptic number.

2755040 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 2755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315816).

2755040 is an abundant number, since it is smaller than the sum of its proper divisors (3876592).

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

2755040 is a wasteful number, since it uses less digits than its factorization.

2755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 2755040 is about 1659.8313167307. The cubic root of 2755040 is about 140.1875038635.

The spelling of 2755040 in words is "two million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 257 268 335 514 536 670 1028 1072 1285 1340 2056 2144 2570 2680 4112 5140 5360 8224 10280 10720 17219 20560 34438 41120 68876 86095 137752 172190 275504 344380 551008 688760 1377520 2755040