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5745280 = 27547191
BaseRepresentation
bin10101111010101010000000
3101210220001011
4111322222000
52432322110
6323050304
766556042
oct25725200
911726034
105745280
113274572
121b10994
131262098
14a97a92
1578748a
hex57aa80

5745280 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 2237440.

The previous prime is 5745263. The next prime is 5745293. The reversal of 5745280 is 825475.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29985 + ... + 30175.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 25745280 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 5745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5745280 is an abundant number, since it is smaller than the sum of its proper divisors (8355200).

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

5745280 is a wasteful number, since it uses less digits than its factorization.

5745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 5745280 is about 2396.9313715666. The cubic root of 5745280 is about 179.1033598825.

The spelling of 5745280 in words is "five million, seven hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 191 235 320 376 382 470 640 752 764 940 955 1504 1528 1880 1910 3008 3056 3760 3820 6016 6112 7520 7640 8977 12224 15040 15280 17954 24448 30080 30560 35908 44885 61120 71816 89770 122240 143632 179540 287264 359080 574528 718160 1149056 1436320 2872640 5745280