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5780040 = 233572983
BaseRepresentation
bin10110000011001001001000
3101212122201120
4112003021020
52434430130
6323515240
7100062300
oct26031110
911778646
105780040
1132986a2
121b28b20
131274b56
14aa6600
15792910
hex583248

5780040 has 96 divisors (see below), whose sum is σ = 20191680. Its totient is φ = 1319808.

The previous prime is 5779999. The next prime is 5780087. The reversal of 5780040 is 400875.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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, 5389 + ... + 6371.

It is an arithmetic number, because the mean of its divisors is an integer number (210330).

Almost surely, 25780040 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 5780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10095840).

5780040 is an abundant number, since it is smaller than the sum of its proper divisors (14411640).

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

5780040 is a wasteful number, since it uses less digits than its factorization.

5780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5780040 is about 2404.1713749232. The cubic root of 5780040 is about 179.4638366224.

The spelling of 5780040 in words is "five million, seven hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 983 1176 1470 1960 1966 2940 2949 3932 4915 5880 5898 6881 7864 9830 11796 13762 14745 19660 20643 23592 27524 29490 34405 39320 41286 48167 55048 58980 68810 82572 96334 103215 117960 137620 144501 165144 192668 206430 240835 275240 289002 385336 412860 481670 578004 722505 825720 963340 1156008 1445010 1926680 2890020 5780040