Search a number
-
+
2830680 = 233352621
BaseRepresentation
bin1010110011000101011000
312022210222000
422303011120
51211040210
6140401000
733026466
oct12630530
95283860
102830680
111663806
12b46160
13781578
14539836
153adac0
hex2b3158

2830680 has 64 divisors (see below), whose sum is σ = 9439200. Its totient is φ = 754560.

The previous prime is 2830657. The next prime is 2830741. The reversal of 2830680 is 860382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231 + ... + 2390.

22830680 is an apocalyptic number.

2830680 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 2830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719600).

2830680 is an abundant number, since it is smaller than the sum of its proper divisors (6608520).

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

2830680 is a wasteful number, since it uses less digits than its factorization.

2830680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2830680 is about 1682.4624810081. The cubic root of 2830680 is about 141.4588941935.

The spelling of 2830680 in words is "two million, eight hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2621 5242 7863 10484 13105 15726 20968 23589 26210 31452 39315 47178 52420 62904 70767 78630 94356 104840 117945 141534 157260 188712 235890 283068 314520 353835 471780 566136 707670 943560 1415340 2830680