Search a number
-
+
5741040 = 2435191259
BaseRepresentation
bin10101111001100111110000
3101210200020010
4111321213300
52432203130
6323014520
766540504
oct25714760
911720203
105741040
113271368
121b0a440
131260186
14a96304
157860b0
hex5799f0

5741040 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1449216.

The previous prime is 5741039. The next prime is 5741051. The reversal of 5741040 is 401475.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5740998 and 5741016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3931 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 25741040 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 5741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5741040 is an abundant number, since it is smaller than the sum of its proper divisors (13007760).

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

5741040 is a wasteful number, since it uses less digits than its factorization.

5741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5741040 is about 2396.0467441183. The cubic root of 5741040 is about 179.0592897859.

The spelling of 5741040 in words is "five million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1259 1520 2280 2518 3777 4560 5036 6295 7554 10072 12590 15108 18885 20144 23921 25180 30216 37770 47842 50360 60432 71763 75540 95684 100720 119605 143526 151080 191368 239210 287052 302160 358815 382736 478420 574104 717630 956840 1148208 1435260 1913680 2870520 5741040