Search a number
-
+
6739040 = 255711547
BaseRepresentation
bin11001101101010001100000
3110200101020002
4121231101200
53211122130
6400235132
7111165230
oct31552140
913611202
106739040
113893160
12230baa8
13151c4c9
14c75cc0
158d1b45
hex66d460

6739040 has 96 divisors (see below), whose sum is σ = 19885824. Its totient is φ = 2096640.

The previous prime is 6739037. The next prime is 6739043. The reversal of 6739040 is 409376.

It is an interprime number because it is at equal distance from previous prime (6739037) and next prime (6739043).

It is a junction number, because it is equal to n+sod(n) for n = 6738994 and 6739012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6739043) 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, 12047 + ... + 12593.

It is an arithmetic number, because the mean of its divisors is an integer number (207144).

Almost surely, 26739040 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 6739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942912).

6739040 is an abundant number, since it is smaller than the sum of its proper divisors (13146784).

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

6739040 is a wasteful number, since it uses less digits than its factorization.

6739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 6739040 is about 2595.9661014736. The cubic root of 6739040 is about 188.8858151493.

The spelling of 6739040 in words is "six million, seven hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 547 560 616 770 880 1094 1120 1232 1540 1760 2188 2464 2735 3080 3829 4376 5470 6017 6160 7658 8752 10940 12034 12320 15316 17504 19145 21880 24068 30085 30632 38290 42119 43760 48136 60170 61264 76580 84238 87520 96272 120340 122528 153160 168476 192544 210595 240680 306320 336952 421190 481360 612640 673904 842380 962720 1347808 1684760 3369520 6739040