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6866040 = 2335291973
BaseRepresentation
bin11010001100010001111000
3110220211102210
4122030101320
53224203130
6403055120
7112234416
oct32142170
913824383
106866040
11396a615
1223714a0
13156525c
14caa2b6
159095b0
hex68c478

6866040 has 64 divisors (see below), whose sum is σ = 21319200. Its totient is φ = 1766912.

The previous prime is 6866039. The next prime is 6866047. The reversal of 6866040 is 406686.

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 = 6865989 and 6866007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6866047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 4466.

Almost surely, 26866040 is an apocalyptic number.

6866040 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 6866040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659600).

6866040 is an abundant number, since it is smaller than the sum of its proper divisors (14453160).

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

6866040 is a wasteful number, since it uses less digits than its factorization.

6866040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

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

The square root of 6866040 is about 2620.3129584078. The cubic root of 6866040 is about 190.0649823895.

The spelling of 6866040 in words is "six million, eight hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 1973 3480 3946 5919 7892 9865 11838 15784 19730 23676 29595 39460 47352 57217 59190 78920 114434 118380 171651 228868 236760 286085 343302 457736 572170 686604 858255 1144340 1373208 1716510 2288680 3433020 6866040