Search a number
-
+
5742080 = 2952243
BaseRepresentation
bin10101111001111000000000
3101210201122122
4111321320000
52432221310
6323023412
766543521
oct25717000
911721578
105742080
113272123
121b0ab68
1312607a6
14a96848
15786555
hex579e00

5742080 has 40 divisors (see below), whose sum is σ = 13773672. Its totient is φ = 2295808.

The previous prime is 5742053. The next prime is 5742083. The reversal of 5742080 is 802475.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1439 + ... + 3681.

Almost surely, 25742080 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 5742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886836).

5742080 is an abundant number, since it is smaller than the sum of its proper divisors (8031592).

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

5742080 is an equidigital number, since it uses as much as digits as its factorization.

5742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5742080 is about 2396.2637584373. The cubic root of 5742080 is about 179.0701014401.

The spelling of 5742080 in words is "five million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2243 2560 4486 8972 11215 17944 22430 35888 44860 71776 89720 143552 179440 287104 358880 574208 717760 1148416 1435520 2871040 5742080