Search a number
-
+
5305461240 = 233544212177
BaseRepresentation
bin1001111000011101…
…01110100111111000
3111200202011100121110
410330032232213320
541331144224430
62234242240320
7245321451012
oct47416564770
914622140543
105305461240
112282881612
1210409560a0
1366721c3a1
143848971b2
15210b937b0
hex13c3ae9f8

5305461240 has 32 divisors (see below), whose sum is σ = 15916384080. Its totient is φ = 1414789632.

The previous prime is 5305461229. The next prime is 5305461247. The reversal of 5305461240 is 421645035.

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 = 5305461198 and 5305461207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305461247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22105969 + ... + 22106208.

Almost surely, 25305461240 is an apocalyptic number.

It is an amenable number.

5305461240 is an abundant number, since it is smaller than the sum of its proper divisors (10610922840).

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

5305461240 is a wasteful number, since it uses less digits than its factorization.

5305461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44212191 (or 44212187 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5305461240 is about 72838.5971858327. The cubic root of 5305461240 is about 1744.1120475874.

The spelling of 5305461240 in words is "five billion, three hundred five million, four hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 44212177 88424354 132636531 176848708 221060885 265273062 353697416 442121770 530546124 663182655 884243540 1061092248 1326365310 1768487080 2652730620 5305461240