Search a number
-
+
1130371641 = 327216012
BaseRepresentation
bin100001101100000…
…0001101000111001
32220202222211101100
41003120001220321
54303333343031
6304055442013
740004000100
oct10330015071
92822884340
101130371641
11530079a43
12276686309
13150255b79
14aa1a7037
1569384de6
hex43601a39

1130371641 has 27 divisors (see below), whose sum is σ = 1900519023. Its totient is φ = 645523200.

The previous prime is 1130371609. The next prime is 1130371679. The reversal of 1130371641 is 1461730311.

The square root of 1130371641 is 33621.

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

1130371641 is a `hidden beast` number, since 1 + 13 + 0 + 3 + 7 + 1 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1127549241 + 2822400 = 33579^2 + 1680^2 .

It is not a de Polignac number, because 1130371641 - 25 = 1130371609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1130371691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 705241 + ... + 706841.

Almost surely, 21130371641 is an apocalyptic number.

1130371641 is the 33621-st square number.

1130371641 is the 16811-st centered octagonal number.

It is an amenable number.

1130371641 is a deficient number, since it is larger than the sum of its proper divisors (770147382).

1130371641 is an frugal number, since it uses more digits than its factorization.

1130371641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 1130371641 is about 1041.6946118099.

It can be divided in two parts, 11303 and 71641, that added together give a square (82944 = 2882).

The spelling of 1130371641 in words is "one billion, one hundred thirty million, three hundred seventy-one thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1601 4803 11207 14409 33621 78449 100863 235347 706041 2563201 7689603 17942407 23068809 53827221 125596849 161481663 376790547 1130371641