Search a number
-
+
1430211440 = 24572553949
BaseRepresentation
bin101010100111111…
…0100101101110000
310200200012021021002
41111033310231300
510412113231230
6353530221132
750304411440
oct12517645560
93620167232
101430211440
11674354029
1233ab847a8
1319a3c8a78
14d7d38120
1585861545
hex553f4b70

1430211440 has 40 divisors (see below), whose sum is σ = 3800277600. Its totient is φ = 490358016.

The previous prime is 1430211437. The next prime is 1430211451. The reversal of 1430211440 is 441120341.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1276415 + ... + 1277534.

It is an arithmetic number, because the mean of its divisors is an integer number (95006940).

Almost surely, 21430211440 is an apocalyptic number.

1430211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430211440 is an abundant number, since it is smaller than the sum of its proper divisors (2370066160).

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

1430211440 is a wasteful number, since it uses less digits than its factorization.

1430211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553969 (or 2553963 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1430211440 is about 37818.1363898329. The cubic root of 1430211440 is about 1126.6786961513.

Adding to 1430211440 its reverse (441120341), we get a palindrome (1871331781).

The spelling of 1430211440 in words is "one billion, four hundred thirty million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2553949 5107898 10215796 12769745 17877643 20431592 25539490 35755286 40863184 51078980 71510572 89388215 102157960 143021144 178776430 204315920 286042288 357552860 715105720 1430211440