Search a number
-
+
1430472961 = 103193227317
BaseRepresentation
bin101010101000011…
…0100100100000001
310200200200120000001
41111100310210001
510412200113321
6353540000001
750306551051
oct12520644401
93620616001
101430472961
11674512565
1233b090001
1319a48ab08
14d7da5561
15858b3c91
hex55434901

1430472961 has 16 divisors (see below), whose sum is σ = 1462840704. Its totient is φ = 1398610944.

The previous prime is 1430472929. The next prime is 1430473039. The reversal of 1430472961 is 1692740341.

It is a cyclic number.

It is not a de Polignac number, because 1430472961 - 25 = 1430472929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1430472961.

It is not an unprimeable number, because it can be changed into a prime (1430472061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4512375 + ... + 4512691.

It is an arithmetic number, because the mean of its divisors is an integer number (91427544).

Almost surely, 21430472961 is an apocalyptic number.

It is an amenable number.

1430472961 is a deficient number, since it is larger than the sum of its proper divisors (32367743).

1430472961 is a wasteful number, since it uses less digits than its factorization.

1430472961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 1430472961 is about 37821.5938453154. The cubic root of 1430472961 is about 1126.7473648281.

The spelling of 1430472961 in words is "one billion, four hundred thirty million, four hundred seventy-two thousand, nine hundred sixty-one".

Divisors: 1 103 193 227 317 19879 23381 32651 43811 61181 71959 4512533 6301643 7411777 13888087 1430472961