Search a number
-
+
5940153344 = 2108965179
BaseRepresentation
bin1011000100000111…
…11000110000000000
3120022222110001111102
411202003320300000
544131134401334
62421234033532
7300126320216
oct54203706000
916288401442
105940153344
112579075144
1211994188a8
13738873848
14404cb0cb6
1524b76567e
hex1620f8c00

5940153344 has 44 divisors (see below), whose sum is σ = 12008111400. Its totient is φ = 2936659968.

The previous prime is 5940153269. The next prime is 5940153353. The reversal of 5940153344 is 4433510495.

It is a junction number, because it is equal to n+sod(n) for n = 5940153298 and 5940153307.

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 3 ways as a sum of consecutive naturals, for example, 58547 + ... + 123725.

Almost surely, 25940153344 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 5940153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004055700).

5940153344 is an abundant number, since it is smaller than the sum of its proper divisors (6067958056).

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

5940153344 is an equidigital number, since it uses as much as digits as its factorization.

5940153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65288 (or 65270 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 5940153344 is about 77072.3902834212. The cubic root of 5940153344 is about 1811.0588052268.

The spelling of 5940153344 in words is "five billion, nine hundred forty million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2848 5696 11392 22784 45568 65179 91136 130358 260716 521432 1042864 2085728 4171456 5800931 8342912 11601862 16685824 23203724 33371648 46407448 66743296 92814896 185629792 371259584 742519168 1485038336 2970076672 5940153344