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2661330 = 2357192329
BaseRepresentation
bin1010001001101111010010
312000012122210
422021233102
51140130310
6133012550
731422660
oct12115722
95005583
102661330
111558551
12a84156
13722469
144d3c30
15378820
hex289bd2

2661330 has 128 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 532224.

The previous prime is 2661317. The next prime is 2661331. The reversal of 2661330 is 331662.

2661330 is nontrivially palindromic in base 11.

2661330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2661297 and 2661306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91756 + ... + 91784.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

22661330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

2661330 is an abundant number, since it is smaller than the sum of its proper divisors (5633070).

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

2661330 is a wasteful number, since it uses less digits than its factorization.

2661330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2661330 is about 1631.3583297363. The cubic root of 2661330 is about 138.5796871422.

Adding to 2661330 its reverse (331662), we get a palindrome (2992992).

It can be divided in two parts, 266 and 1330, that added together give a triangular number (1596 = T56).

The spelling of 2661330 in words is "two million, six hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 23 29 30 35 38 42 46 57 58 69 70 87 95 105 114 115 133 138 145 161 174 190 203 210 230 266 285 290 322 345 399 406 435 437 483 551 570 609 665 667 690 798 805 870 874 966 1015 1102 1218 1311 1330 1334 1610 1653 1995 2001 2030 2185 2415 2622 2755 3045 3059 3306 3335 3857 3990 4002 4370 4669 4830 5510 6090 6118 6555 6670 7714 8265 9177 9338 10005 11571 12673 13110 14007 15295 16530 18354 19285 20010 23142 23345 25346 28014 30590 38019 38570 45885 46690 57855 63365 70035 76038 88711 91770 115710 126730 140070 177422 190095 266133 380190 443555 532266 887110 1330665 2661330