Search a number
-
+
6207040 = 265717163
BaseRepresentation
bin10111101011011001000000
3102200100110101
4113223121000
53042111130
6341012144
7103521220
oct27533100
912610411
106207040
11355a494
1220b4054
131394308
14b78080
158291ca
hex5eb640

6207040 has 112 divisors (see below), whose sum is σ = 17995392. Its totient is φ = 1990656.

The previous prime is 6207029. The next prime is 6207041. The reversal of 6207040 is 407026.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6206999 and 6207017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6207041) 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, 37999 + ... + 38161.

Almost surely, 26207040 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 6207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997696).

6207040 is an abundant number, since it is smaller than the sum of its proper divisors (11788352).

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

6207040 is a wasteful number, since it uses less digits than its factorization.

6207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 6207040 is about 2491.3931845455. The cubic root of 6207040 is about 183.7785615898.

It can be divided in two parts, 6 and 207040, that added together give a triangular number (207046 = T643).

The spelling of 6207040 in words is "six million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 163 170 224 238 272 280 320 326 340 448 476 544 560 595 652 680 815 952 1088 1120 1141 1190 1304 1360 1630 1904 2240 2282 2380 2608 2720 2771 3260 3808 4564 4760 5216 5440 5542 5705 6520 7616 9128 9520 10432 11084 11410 13040 13855 18256 19040 19397 22168 22820 26080 27710 36512 38080 38794 44336 45640 52160 55420 73024 77588 88672 91280 96985 110840 155176 177344 182560 193970 221680 310352 365120 387940 443360 620704 775880 886720 1241408 1551760 3103520 6207040