Search a number
-
+
6490440 = 23325112149
BaseRepresentation
bin11000110000100101001000
3110012202012200
4120300211020
53130143230
6351040200
7106111365
oct30604510
913182180
106490440
113733400
122210060
1314632c8
14c0d46c
15883160
hex630948

6490440 has 144 divisors (see below), whose sum is σ = 23341500. Its totient is φ = 1562880.

The previous prime is 6490427. The next prime is 6490483. The reversal of 6490440 is 440946.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 527076 = 2442^2 + 726^2 .

It is a super-2 number, since 2×64904402 = 84251622787200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43486 + ... + 43634.

Almost surely, 26490440 is an apocalyptic number.

6490440 is a gapful number since it is divisible by the number (60) 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 6490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670750).

6490440 is an abundant number, since it is smaller than the sum of its proper divisors (16851060).

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

6490440 is a wasteful number, since it uses less digits than its factorization.

6490440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6490440 is about 2547.6341966617. The cubic root of 6490440 is about 186.5340185724.

The spelling of 6490440 in words is "six million, four hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 149 165 180 198 220 242 264 298 330 360 363 396 440 447 484 495 596 605 660 726 745 792 894 968 990 1089 1192 1210 1320 1341 1452 1490 1639 1788 1815 1980 2178 2235 2420 2682 2904 2980 3278 3576 3630 3960 4356 4470 4840 4917 5364 5445 5960 6556 6705 7260 8195 8712 8940 9834 10728 10890 13112 13410 14520 14751 16390 17880 18029 19668 21780 24585 26820 29502 32780 36058 39336 43560 49170 53640 54087 59004 65560 72116 73755 90145 98340 108174 118008 144232 147510 162261 180290 196680 216348 270435 295020 324522 360580 432696 540870 590040 649044 721160 811305 1081740 1298088 1622610 2163480 3245220 6490440