Search a number
-
+
6769620 = 223251113263
BaseRepresentation
bin11001110100101111010100
3110201221011200
4121310233110
53213111440
6401032500
7111353334
oct31645724
913657150
106769620
113904130
122325730
1315303c0
14c830c4
158dac30
hex674bd4

6769620 has 144 divisors (see below), whose sum is σ = 24216192. Its totient is φ = 1509120.

The previous prime is 6769591. The next prime is 6769639. The reversal of 6769620 is 269676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25609 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 26769620 is an apocalyptic number.

6769620 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 6769620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108096).

6769620 is an abundant number, since it is smaller than the sum of its proper divisors (17446572).

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

6769620 is a wasteful number, since it uses less digits than its factorization.

6769620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6769620 is about 2601.8493422948. The cubic root of 6769620 is about 189.1710888843.

It can be divided in two parts, 676 and 9620, that added together give a triangular number (10296 = T143).

The spelling of 6769620 in words is "six million, seven hundred sixty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 263 286 330 390 396 429 468 495 526 572 585 660 715 780 789 858 990 1052 1170 1287 1315 1430 1578 1716 1980 2145 2340 2367 2574 2630 2860 2893 3156 3419 3945 4290 4734 5148 5260 5786 6435 6838 7890 8580 8679 9468 10257 11572 11835 12870 13676 14465 15780 17095 17358 20514 23670 25740 26037 28930 30771 34190 34716 37609 41028 43395 47340 51285 52074 57860 61542 68380 75218 86790 102570 104148 112827 123084 130185 150436 153855 173580 188045 205140 225654 260370 307710 338481 376090 451308 520740 564135 615420 676962 752180 1128270 1353924 1692405 2256540 3384810 6769620