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5781160 = 2357111877
BaseRepresentation
bin10110000011011010101000
3101212201021001
4112003122220
52434444120
6323524344
7100065460
oct26033250
911781231
105781160
113299520
121b296b4
131275508
14aa6ba0
15792e0a
hex5836a8

5781160 has 64 divisors (see below), whose sum is σ = 16225920. Its totient is φ = 1800960.

The previous prime is 5781151. The next prime is 5781169. The reversal of 5781160 is 611875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5781151) and next prime (5781169).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5781169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142 + ... + 4018.

It is an arithmetic number, because the mean of its divisors is an integer number (253530).

Almost surely, 25781160 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 5781160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112960).

5781160 is an abundant number, since it is smaller than the sum of its proper divisors (10444760).

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

5781160 is a wasteful number, since it uses less digits than its factorization.

5781160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 5781160 is about 2404.4042921273. The cubic root of 5781160 is about 179.4754274601.

The spelling of 5781160 in words is "five million, seven hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 1877 3080 3754 7508 9385 13139 15016 18770 20647 26278 37540 41294 52556 65695 75080 82588 103235 105112 131390 144529 165176 206470 262780 289058 412940 525560 578116 722645 825880 1156232 1445290 2890580 5781160