Search a number
-
+
6880140 = 2234531137
BaseRepresentation
bin11010001111101110001100
3110221112210000
4122033232030
53230131030
6403244300
7112323501
oct32175614
913845700
106880140
11397a173
122379690
13156b7b7
14cb14a8
1590d860
hex68fb8c

6880140 has 120 divisors (see below), whose sum is σ = 22442112. Its totient is φ = 1762560.

The previous prime is 6880127. The next prime is 6880141. The reversal of 6880140 is 410886.

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 (6880141) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 50152 + ... + 50288.

Almost surely, 26880140 is an apocalyptic number.

6880140 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 6880140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221056).

6880140 is an abundant number, since it is smaller than the sum of its proper divisors (15561972).

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

6880140 is a wasteful number, since it uses less digits than its factorization.

6880140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6880140 is about 2623.0020968348. The cubic root of 6880140 is about 190.1949983260.

It can be divided in two parts, 68 and 80140, that added together give a palindrome (80208).

The spelling of 6880140 in words is "six million, eight hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 137 155 162 180 186 270 274 279 310 324 372 405 411 465 540 548 558 620 685 810 822 837 930 1116 1233 1370 1395 1620 1644 1674 1860 2055 2466 2511 2740 2790 3348 3699 4110 4185 4247 4932 5022 5580 6165 7398 8220 8370 8494 10044 11097 12330 12555 12741 14796 16740 16988 18495 21235 22194 24660 25110 25482 36990 38223 42470 44388 50220 50964 55485 63705 73980 76446 84940 110970 114669 127410 152892 191115 221940 229338 254820 344007 382230 458676 573345 688014 764460 1146690 1376028 1720035 2293380 3440070 6880140