Search a number
-
+
2676540 = 2235311439
BaseRepresentation
bin1010001101011100111100
312000222112010
422031130330
51141122130
6133211220
731515216
oct12153474
95028463
102676540
111568a19
12a90b10
13729369
144d95b6
1537d0b0
hex28d73c

2676540 has 48 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 690240.

The previous prime is 2676539. The next prime is 2676547. The reversal of 2676540 is 456762.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 221 + 67 + 7 + 67 + 55 + 47 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2676498 and 2676507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676547) 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, 1141 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

22676540 is an apocalyptic number.

2676540 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 2676540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2676540 is an abundant number, since it is smaller than the sum of its proper divisors (5064900).

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

2676540 is a wasteful number, since it uses less digits than its factorization.

2676540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2676540 is about 1636.0134473775. The cubic root of 2676540 is about 138.8431887570.

The spelling of 2676540 in words is "two million, six hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1439 1860 2878 4317 5756 7195 8634 14390 17268 21585 28780 43170 44609 86340 89218 133827 178436 223045 267654 446090 535308 669135 892180 1338270 2676540