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1301631040 = 2654067597
BaseRepresentation
bin100110110010101…
…0101000001000000
310100201020201010001
41031211111001000
510131204143130
6333054245344
744153452453
oct11545250100
93321221101
101301631040
11608811736
12303ab6854
131798894a8
14c4c2749a
15794136ca
hex4d955040

1301631040 has 28 divisors (see below), whose sum is σ = 3099509676. Its totient is φ = 520652288.

The previous prime is 1301631011. The next prime is 1301631047. The reversal of 1301631040 is 401361031.

It can be written as a sum of positive squares in 2 ways, for example, as 227889216 + 1073741824 = 15096^2 + 32768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1301630999 and 1301631017.

It is not an unprimeable number, because it can be changed into a prime (1301631047) 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 3 ways as a sum of consecutive naturals, for example, 2033479 + ... + 2034118.

Almost surely, 21301631040 is an apocalyptic number.

1301631040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301631040 is an abundant number, since it is smaller than the sum of its proper divisors (1797878636).

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

1301631040 is an equidigital number, since it uses as much as digits as its factorization.

1301631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067614 (or 4067604 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1301631040 is about 36078.1241197488. The cubic root of 1301631040 is about 1091.8491295993.

Adding to 1301631040 its reverse (401361031), we get a palindrome (1702992071).

The spelling of 1301631040 in words is "one billion, three hundred one million, six hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4067597 8135194 16270388 20337985 32540776 40675970 65081552 81351940 130163104 162703880 260326208 325407760 650815520 1301631040