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2757040 = 2451113241
BaseRepresentation
bin1010100001000110110000
312012001221121
422201012300
51201211130
6135032024
732302006
oct12410660
95161847
102757040
111613450
12b0b614
13756bb0
1451aa76
15396d7a
hex2a11b0

2757040 has 80 divisors (see below), whose sum is σ = 7562016. Its totient is φ = 921600.

The previous prime is 2757037. The next prime is 2757049. The reversal of 2757040 is 407572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2756996 and 2757014.

It is not an unprimeable number, because it can be changed into a prime (2757049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11320 + ... + 11560.

22757040 is an apocalyptic number.

2757040 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 2757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008).

2757040 is an abundant number, since it is smaller than the sum of its proper divisors (4804976).

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

2757040 is a wasteful number, since it uses less digits than its factorization.

2757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 2757040 is about 1660.4336782901. The cubic root of 2757040 is about 140.2214183366.

The spelling of 2757040 in words is "two million, seven hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 241 260 286 440 482 520 572 715 880 964 1040 1144 1205 1430 1928 2288 2410 2651 2860 3133 3856 4820 5302 5720 6266 9640 10604 11440 12532 13255 15665 19280 21208 25064 26510 31330 34463 42416 50128 53020 62660 68926 106040 125320 137852 172315 212080 250640 275704 344630 551408 689260 1378520 2757040