[go: up one dir, main page]

Search a number
-
+
5744880 = 2432579101
BaseRepresentation
bin10101111010100011110000
3101210212111100
4111322203300
52432314010
6323044400
766554631
oct25724360
911725440
105744880
113274239
121b10700
131261b4b
14a97888
157872c0
hex57a8f0

5744880 has 120 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1497600.

The previous prime is 5744867. The next prime is 5744899. The reversal of 5744880 is 884475.

5744880 is a `hidden beast` number, since 574 + 4 + 8 + 80 = 666.

5744880 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56830 + ... + 56930.

It is an arithmetic number, because the mean of its divisors is an integer number (164424).

Almost surely, 25744880 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 5744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

5744880 is an abundant number, since it is smaller than the sum of its proper divisors (13986000).

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

5744880 is a wasteful number, since it uses less digits than its factorization.

5744880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5744880 is about 2396.8479300949. The cubic root of 5744880 is about 179.0992032526.

The spelling of 5744880 in words is "five million, seven hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 101 120 144 158 180 202 237 240 303 316 360 395 404 474 505 606 632 711 720 790 808 909 948 1010 1185 1212 1264 1422 1515 1580 1616 1818 1896 2020 2370 2424 2844 3030 3160 3555 3636 3792 4040 4545 4740 4848 5688 6060 6320 7110 7272 7979 8080 9090 9480 11376 12120 14220 14544 15958 18180 18960 23937 24240 28440 31916 36360 39895 47874 56880 63832 71811 72720 79790 95748 119685 127664 143622 159580 191496 239370 287244 319160 359055 382992 478740 574488 638320 718110 957480 1148976 1436220 1914960 2872440 5744880