Search a number
-
+
1290318241 = 17221132
BaseRepresentation
bin100110011101000…
…1011000110100001
310022220221221212111
41030322023012201
510120310140431
6332011555321
743655344522
oct11472130641
93286857774
101290318241
11602395213
1230015bb41
13177428224
14c3520849
157842b7b1
hex4ce8b1a1

1290318241 has 9 divisors (see below), whose sum is σ = 1371333081. Its totient is φ = 1213842432.

The previous prime is 1290318233. The next prime is 1290318247. The reversal of 1290318241 is 1428130921.

The square root of 1290318241 is 35921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 253478241 + 1036840000 = 15921^2 + 32200^2 .

It is not a de Polignac number, because 1290318241 - 23 = 1290318233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290318247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 609601 + ... + 611713.

Almost surely, 21290318241 is an apocalyptic number.

1290318241 is the 35921-st square number.

1290318241 is the 17961-st centered octagonal number.

It is an amenable number.

1290318241 is a deficient number, since it is larger than the sum of its proper divisors (81014840).

1290318241 is an frugal number, since it uses more digits than its factorization.

1290318241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 1290318241 is about 1088.6767436869.

The spelling of 1290318241 in words is "one billion, two hundred ninety million, three hundred eighteen thousand, two hundred forty-one".

Divisors: 1 17 289 2113 35921 610657 4464769 75901073 1290318241