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5871120 = 2435171439
BaseRepresentation
bin10110011001011000010000
3102001021122220
4112121120100
53000333440
6325501040
7100621653
oct26313020
912037586
105871120
113350072
121b71780
1312a7448
14acb89a
157ae8d0
hex599610

5871120 has 80 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1472512.

The previous prime is 5871113. The next prime is 5871139. The reversal of 5871120 is 211785.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 25871120 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 5871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5871120 is an abundant number, since it is smaller than the sum of its proper divisors (13413360).

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

5871120 is a wasteful number, since it uses less digits than its factorization.

5871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 5871120 is about 2423.0394136291. The cubic root of 5871120 is about 180.4015725777.

The spelling of 5871120 in words is "five million, eight hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1439 2040 2878 4080 4317 5756 7195 8634 11512 14390 17268 21585 23024 24463 28780 34536 43170 48926 57560 69072 73389 86340 97852 115120 122315 146778 172680 195704 244630 293556 345360 366945 391408 489260 587112 733890 978520 1174224 1467780 1957040 2935560 5871120