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6666440 = 23511109139
BaseRepresentation
bin11001011011100011001000
3110112200122012
4121123203020
53201311230
6354515052
7110443454
oct31334310
913480565
106666440
113843660
122295a88
1314c5451
14c57664
158ba395
hex65b8c8

6666440 has 64 divisors (see below), whose sum is σ = 16632000. Its totient is φ = 2384640.

The previous prime is 6666437. The next prime is 6666449. The reversal of 6666440 is 446666.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6666397 and 6666406.

It is not an unprimeable number, because it can be changed into a prime (6666449) by changing a digit.

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, 47891 + ... + 48029.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 26666440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316000).

6666440 is an abundant number, since it is smaller than the sum of its proper divisors (9965560).

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

6666440 is a wasteful number, since it uses less digits than its factorization.

6666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 6666440 is about 2581.9450032873. The cubic root of 6666440 is about 188.2050727370.

The spelling of 6666440 in words is "six million, six hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 139 218 220 278 436 440 545 556 695 872 1090 1112 1199 1390 1529 2180 2398 2780 3058 4360 4796 5560 5995 6116 7645 9592 11990 12232 15151 15290 23980 30302 30580 47960 60604 61160 75755 121208 151510 166661 303020 333322 606040 666644 833305 1333288 1666610 3333220 6666440