Search a number
-
+
2830772 = 2271719313
BaseRepresentation
bin1010110011000110110100
312022211002102
422303012310
51211041042
6140401232
733026660
oct12630664
95284072
102830772
11166388a
12b46218
13781619
145398a0
153adb32
hex2b31b4

2830772 has 48 divisors (see below), whose sum is σ = 6330240. Its totient is φ = 1078272.

The previous prime is 2830741. The next prime is 2830781. The reversal of 2830772 is 2770382.

2830772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8888 + ... + 9200.

It is an arithmetic number, because the mean of its divisors is an integer number (131880).

22830772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165120).

2830772 is an abundant number, since it is smaller than the sum of its proper divisors (3499468).

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

2830772 is a wasteful number, since it uses less digits than its factorization.

2830772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 2830772 is about 1682.4898216631. The cubic root of 2830772 is about 141.4604266966.

The spelling of 2830772 in words is "two million, eight hundred thirty thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 313 323 476 532 626 646 1252 1292 2191 2261 4382 4522 5321 5947 8764 9044 10642 11894 21284 23788 37247 41629 74494 83258 101099 148988 166516 202198 404396 707693 1415386 2830772