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6814104 = 2331153487
BaseRepresentation
bin11001111111100110011000
3110211012012020
4121333212120
53221022404
6402014440
7111630123
oct31774630
913735166
106814104
1139345a0
122347420
13154771b
14c953ba
158e8ed9
hex67f998

6814104 has 64 divisors (see below), whose sum is σ = 18973440. Its totient is φ = 2021760.

The previous prime is 6814099. The next prime is 6814117. The reversal of 6814104 is 4014186.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13749 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (296460).

Almost surely, 26814104 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 6814104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486720).

6814104 is an abundant number, since it is smaller than the sum of its proper divisors (12159336).

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

6814104 is a wasteful number, since it uses less digits than its factorization.

6814104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6814104 is about 2610.3838798154. The cubic root of 6814104 is about 189.5845400345.

The spelling of 6814104 in words is "six million, eight hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 487 583 636 974 1166 1272 1461 1749 1948 2332 2922 3498 3896 4664 5357 5844 6996 10714 11688 13992 16071 21428 25811 32142 42856 51622 64284 77433 103244 128568 154866 206488 283921 309732 567842 619464 851763 1135684 1703526 2271368 3407052 6814104