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5359240440 = 2332572720477
BaseRepresentation
bin1001111110110111…
…11000010011111000
3111211111100121210200
410333123320103320
541433431143230
62243443042200
7246543535461
oct47733702370
914744317720
105359240440
112300173734
121056970360
136753cb9b8
1438ba95d68
15215768160
hex13f6f84f8

5359240440 has 96 divisors (see below), whose sum is σ = 17442341280. Its totient is φ = 1427095296.

The previous prime is 5359240433. The next prime is 5359240451. The reversal of 5359240440 is 440429535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5359240395 and 5359240404.

It is a congruent number.

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, 251482 + ... + 271958.

It is an arithmetic number, because the mean of its divisors is an integer number (181691055).

Almost surely, 25359240440 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 5359240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721170640).

5359240440 is an abundant number, since it is smaller than the sum of its proper divisors (12083100840).

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

5359240440 is a wasteful number, since it uses less digits than its factorization.

5359240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21221 (or 21214 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5359240440 is about 73206.8332876105. The cubic root of 5359240440 is about 1749.9853538910.

Adding to 5359240440 its reverse (440429535), we get a palindrome (5799669975).

The spelling of 5359240440 in words is "five billion, three hundred fifty-nine million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 727 1454 2181 2908 3635 4362 5816 6543 7270 8724 10905 13086 14540 17448 20477 21810 26172 29080 32715 40954 43620 52344 61431 65430 81908 87240 102385 122862 130860 163816 184293 204770 245724 261720 307155 368586 409540 491448 614310 737172 819080 921465 1228620 1474344 1842930 2457240 3685860 7371720 14886779 29773558 44660337 59547116 74433895 89320674 119094232 133981011 148867790 178641348 223301685 267962022 297735580 357282696 446603370 535924044 595471160 669905055 893206740 1071848088 1339810110 1786413480 2679620220 5359240440