Search a number
-
+
2664090 = 2345111323
BaseRepresentation
bin1010001010011010011010
312000100110000
422022122122
51140222330
6133033430
731434012
oct12123232
95010400
102664090
11155a630
12a85876
137237b0
144d4c42
15379560
hex28a69a

2664090 has 160 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 570240.

The previous prime is 2664089. The next prime is 2664097. The reversal of 2664090 is 904662.

2664090 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

It is not an unprimeable number, because it can be changed into a prime (2664097) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115819 + ... + 115841.

22664090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848).

2664090 is an abundant number, since it is smaller than the sum of its proper divisors (6117606).

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

2664090 is a wasteful number, since it uses less digits than its factorization.

2664090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2664090 is about 1632.2040313637. The cubic root of 2664090 is about 138.6275764548.

It can be divided in two parts, 266 and 4090, that added together give a square (4356 = 662).

The spelling of 2664090 in words is "two million, six hundred sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 23 26 27 30 33 39 45 46 54 55 65 66 69 78 81 90 99 110 115 117 130 135 138 143 162 165 195 198 207 230 234 253 270 286 297 299 330 345 351 390 405 414 429 495 506 585 594 598 621 690 702 715 759 810 858 891 897 990 1035 1053 1170 1242 1265 1287 1430 1485 1495 1518 1755 1782 1794 1863 2070 2106 2145 2277 2530 2574 2691 2970 2990 3105 3289 3510 3726 3795 3861 4290 4455 4485 4554 5265 5382 6210 6435 6578 6831 7590 7722 8073 8910 8970 9315 9867 10530 11385 11583 12870 13455 13662 16146 16445 18630 19305 19734 20493 22770 23166 24219 26910 29601 32890 34155 38610 40365 40986 48438 49335 57915 59202 68310 80730 88803 98670 102465 115830 121095 148005 177606 204930 242190 266409 296010 444015 532818 888030 1332045 2664090