Search a number
-
+
5742263120 = 245112593209
BaseRepresentation
bin1010101100100001…
…11111101101010000
3112211012002012010212
411112100333231100
543230004404440
62345444343252
7262204300616
oct52620775520
915735065125
105742263120
1124873a3300
1211430a4b28
13706877939
143c68bb6b6
152391c6465
hex15643fb50

5742263120 has 60 divisors (see below), whose sum is σ = 14674828980. Its totient is φ = 2088092160.

The previous prime is 5742263113. The next prime is 5742263123. The reversal of 5742263120 is 213622475.

It can be written as a sum of positive squares in 2 ways, for example, as 1649334544 + 4092928576 = 40612^2 + 63976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742263123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286925 + ... + 306284.

It is an arithmetic number, because the mean of its divisors is an integer number (244580483).

Almost surely, 25742263120 is an apocalyptic number.

It is an amenable number.

5742263120 is an abundant number, since it is smaller than the sum of its proper divisors (8932565860).

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

5742263120 is a wasteful number, since it uses less digits than its factorization.

5742263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593244 (or 593227 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 5742263120 is about 75777.7217920940. The cubic root of 5742263120 is about 1790.7200498770.

Adding to 5742263120 its reverse (213622475), we get a palindrome (5955885595).

It can be divided in two parts, 5742 and 263120, that added together give a palindrome (268862).

The spelling of 5742263120 in words is "five billion, seven hundred forty-two million, two hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 593209 1186418 2372836 2966045 4745672 5932090 6525299 9491344 11864180 13050598 23728360 26101196 32626495 47456720 52202392 65252990 71778289 104404784 130505980 143556578 261011960 287113156 358891445 522023920 574226312 717782890 1148452624 1435565780 2871131560 5742263120