Search a number
-
+
5390034240 = 263525122369
BaseRepresentation
bin1010000010100010…
…10110010101000000
3111220122022002221210
411001101112111000
542014322043430
62250503050120
7250366351353
oct50121262500
914818262853
105390034240
112316596558
121065140940
1367b8c1096
14391bd029a
152182ec2b0
hex141456540

5390034240 has 112 divisors (see below), whose sum is σ = 17182307520. Its totient is φ = 1431552000.

The previous prime is 5390034239. The next prime is 5390034269. The reversal of 5390034240 is 424300935.

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

It is a junction number, because it is equal to n+sod(n) for n = 5390034198 and 5390034207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229776 + ... + 252144.

It is an arithmetic number, because the mean of its divisors is an integer number (153413460).

Almost surely, 25390034240 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 5390034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591153760).

5390034240 is an abundant number, since it is smaller than the sum of its proper divisors (11792273280).

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

5390034240 is a wasteful number, since it uses less digits than its factorization.

5390034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22640 (or 22630 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5390034240 is about 73416.8525612478. The cubic root of 5390034240 is about 1753.3307168715.

The spelling of 5390034240 in words is "five billion, three hundred ninety million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 251 320 480 502 753 960 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 16064 20080 22369 24096 30120 40160 44738 48192 60240 67107 80320 89476 111845 120480 134214 178952 223690 240960 268428 335535 357904 447380 536856 671070 715808 894760 1073712 1342140 1431616 1789520 2147424 2684280 3579040 4294848 5368560 5614619 7158080 10737120 11229238 16843857 21474240 22458476 28073095 33687714 44916952 56146190 67375428 84219285 89833904 112292380 134750856 168438570 179667808 224584760 269501712 336877140 359335616 449169520 539003424 673754280 898339040 1078006848 1347508560 1796678080 2695017120 5390034240