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6806040 = 2335431319
BaseRepresentation
bin11001111101101000011000
3110210210010120
4121331220120
53220243130
6401513240
7111564453
oct31755030
913723116
106806040
11392952a
122342820
131543b57
14c9249a
158e6910
hex67da18

6806040 has 64 divisors (see below), whose sum is σ = 20908800. Its totient is φ = 1771392.

The previous prime is 6806029. The next prime is 6806053. The reversal of 6806040 is 406086.

6806040 = T541 + T542 + ... + T583.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6806040.

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, 4501 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (326700).

Almost surely, 26806040 is an apocalyptic number.

6806040 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 6806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454400).

6806040 is an abundant number, since it is smaller than the sum of its proper divisors (14102760).

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

6806040 is a wasteful number, since it uses less digits than its factorization.

6806040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6806040 is about 2608.8388221582. The cubic root of 6806040 is about 189.5097239762.

The spelling of 6806040 in words is "six million, eight hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1319 1720 2580 2638 3957 5160 5276 6595 7914 10552 13190 15828 19785 26380 31656 39570 52760 56717 79140 113434 158280 170151 226868 283585 340302 453736 567170 680604 850755 1134340 1361208 1701510 2268680 3403020 6806040