Search a number
-
+
5360040 = 233357709
BaseRepresentation
bin10100011100100110101000
3101002022121000
4110130212220
52333010130
6310515000
763362640
oct24344650
911068530
105360040
113031094
121965a60
13115892a
149d7520
1570d260
hex51c9a8

5360040 has 128 divisors (see below), whose sum is σ = 20448000. Its totient is φ = 1223424.

The previous prime is 5360039. The next prime is 5360051. The reversal of 5360040 is 400635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5359995 and 5360022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7206 + ... + 7914.

It is an arithmetic number, because the mean of its divisors is an integer number (159750).

Almost surely, 25360040 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 5360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224000).

5360040 is an abundant number, since it is smaller than the sum of its proper divisors (15087960).

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

5360040 is a wasteful number, since it uses less digits than its factorization.

5360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5360040 is about 2315.1760192262. The cubic root of 5360040 is about 175.0072377959.

Adding to 5360040 its reverse (400635), we get a palindrome (5760675).

The spelling of 5360040 in words is "five million, three hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 709 756 840 945 1080 1260 1418 1512 1890 2127 2520 2836 3545 3780 4254 4963 5672 6381 7090 7560 8508 9926 10635 12762 14180 14889 17016 19143 19852 21270 24815 25524 28360 29778 31905 38286 39704 42540 44667 49630 51048 59556 63810 74445 76572 85080 89334 95715 99260 119112 127620 134001 148890 153144 178668 191430 198520 223335 255240 268002 297780 357336 382860 446670 536004 595560 670005 765720 893340 1072008 1340010 1786680 2680020 5360040