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5220241440 = 253517960757
BaseRepresentation
bin1001101110010011…
…01001000000100000
3111110210210202000120
410313021221000200
541142340211230
62221555520240
7243235214541
oct46711510040
914423722016
105220241440
112239765727
1210182b9080
1365268217b
143774324c8
1520845d310
hex137269020

5220241440 has 96 divisors (see below), whose sum is σ = 16535897280. Its totient is φ = 1384264704.

The previous prime is 5220241387. The next prime is 5220241457. The reversal of 5220241440 is 441420225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5220241440.

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, 55542 + ... + 116298.

It is an arithmetic number, because the mean of its divisors is an integer number (172248930).

Almost surely, 25220241440 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 5220241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267948640).

5220241440 is an abundant number, since it is smaller than the sum of its proper divisors (11315655840).

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

5220241440 is a wasteful number, since it uses less digits than its factorization.

5220241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60954 (or 60946 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 5220241440 is about 72251.2383284882. The cubic root of 5220241440 is about 1734.7232395516.

Adding to 5220241440 its reverse (441420225), we get a palindrome (5661661665).

The spelling of 5220241440 in words is "five billion, two hundred twenty million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 5728 7160 8592 10740 14320 17184 21480 28640 42960 60757 85920 121514 182271 243028 303785 364542 486056 607570 729084 911355 972112 1215140 1458168 1822710 1944224 2430280 2916336 3645420 4860560 5832672 7290840 9721120 10875503 14581680 21751006 29163360 32626509 43502012 54377515 65253018 87004024 108755030 130506036 163132545 174008048 217510060 261012072 326265090 348016096 435020120 522024144 652530180 870040240 1044048288 1305060360 1740080480 2610120720 5220241440