Search a number
-
+
6660840 = 2335471181
BaseRepresentation
bin11001011010001011101000
3110112101221210
4121122023220
53201121330
6354433120
7110421234
oct31321350
913471853
106660840
11383a42a
1222927a0
1314c2a34
14c555c4
158b88b0
hex65a2e8

6660840 has 64 divisors (see below), whose sum is σ = 20424960. Its totient is φ = 1736960.

The previous prime is 6660809. The next prime is 6660859. The reversal of 6660840 is 480666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6660798 and 6660807.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5050 + ... + 6230.

It is an arithmetic number, because the mean of its divisors is an integer number (319140).

Almost surely, 26660840 is an apocalyptic number.

6660840 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 6660840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10212480).

6660840 is an abundant number, since it is smaller than the sum of its proper divisors (13764120).

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

6660840 is a wasteful number, since it uses less digits than its factorization.

6660840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6660840 is about 2580.8603216757. The cubic root of 6660840 is about 188.1523587617.

It can be divided in two parts, 66 and 60840, that added together give a palindrome (60906).

The spelling of 6660840 in words is "six million, six hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1181 1410 1880 2362 2820 3543 4724 5640 5905 7086 9448 11810 14172 17715 23620 28344 35430 47240 55507 70860 111014 141720 166521 222028 277535 333042 444056 555070 666084 832605 1110140 1332168 1665210 2220280 3330420 6660840