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5786040 = 2335133709
BaseRepresentation
bin10110000100100110111000
3101212221221210
4112010212320
52440123130
6324003120
7100115631
oct26044670
911787853
105786040
1132a2157
121b304a0
1312777c0
14aa8888
157945b0
hex5849b8

5786040 has 64 divisors (see below), whose sum is σ = 18698400. Its totient is φ = 1423872.

The previous prime is 5786017. The next prime is 5786083. The reversal of 5786040 is 406875.

It is a happy number.

5786040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5785989 and 5786007.

It is a congruent number.

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, 295 + ... + 3414.

Almost surely, 25786040 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 5786040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349200).

5786040 is an abundant number, since it is smaller than the sum of its proper divisors (12912360).

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

5786040 is a wasteful number, since it uses less digits than its factorization.

5786040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5786040 is about 2405.4188824402. The cubic root of 5786040 is about 179.5259129315.

The spelling of 5786040 in words is "five million, seven hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3709 7418 11127 14836 18545 22254 29672 37090 44508 48217 55635 74180 89016 96434 111270 144651 148360 192868 222540 241085 289302 385736 445080 482170 578604 723255 964340 1157208 1446510 1928680 2893020 5786040