Search a number
-
+
2661792 = 253717233
BaseRepresentation
bin1010001001110110100000
312000020021220
422021312200
51140134132
6133015040
731424220
oct12116640
95006256
102661792
111558931
12a84480
13722733
144d4080
15378a2c
hex289da0

2661792 has 96 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 712704.

The previous prime is 2661781. The next prime is 2661797. The reversal of 2661792 is 2971662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661797) 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, 11308 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

22661792 is an apocalyptic number.

It is a pronic number, being equal to 1631×1632.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

2661792 is an abundant number, since it is smaller than the sum of its proper divisors (5829600).

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

2661792 is a wasteful number, since it uses less digits than its factorization.

2661792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 2661792 is about 1631.4999233834. The cubic root of 2661792 is about 138.5877057033.

The spelling of 2661792 in words is "two million, six hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 233 238 272 336 357 408 466 476 544 672 699 714 816 932 952 1398 1428 1631 1632 1864 1904 2796 2856 3262 3728 3808 3961 4893 5592 5712 6524 7456 7922 9786 11184 11424 11883 13048 15844 19572 22368 23766 26096 27727 31688 39144 47532 52192 55454 63376 78288 83181 95064 110908 126752 156576 166362 190128 221816 332724 380256 443632 665448 887264 1330896 2661792