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1076430481 = 724321092
BaseRepresentation
bin100000000101001…
…0000011010010001
32210000111100000121
41000022100122101
54201031233411
6254451350241
735450336200
oct10012203221
92700440017
101076430481
11502687175
122605b2381
1314201a919
14a2d65237
156477c571
hex40290691

1076430481 has 27 divisors (see below), whose sum is σ = 1293840891. Its totient is φ = 892929744.

The previous prime is 1076430473. The next prime is 1076430499. The reversal of 1076430481 is 1840346701.

It is a happy number.

The square root of 1076430481 is 32809.

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

It can be written as a sum of positive squares in only one way, i.e., 750266881 + 326163600 = 27391^2 + 18060^2 .

It is not a de Polignac number, because 1076430481 - 23 = 1076430473 is a prime.

It is a super-2 number, since 2×10764304812 = 2317405160851782722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1076430431) 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, 9875455 + ... + 9875563.

It is an arithmetic number, because the mean of its divisors is an integer number (47920033).

Almost surely, 21076430481 is an apocalyptic number.

1076430481 is the 32809-th square number.

1076430481 is the 16405-th centered octagonal number.

It is an amenable number.

1076430481 is a deficient number, since it is larger than the sum of its proper divisors (217410410).

1076430481 is an frugal number, since it uses more digits than its factorization.

1076430481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The cubic root of 1076430481 is about 1024.8539886405.

The spelling of 1076430481 in words is "one billion, seventy-six million, four hundred thirty thousand, four hundred eighty-one".

Divisors: 1 7 43 49 109 301 763 1849 2107 4687 5341 11881 12943 32809 83167 90601 201541 229663 510883 582169 1410787 3576181 9875509 21967969 25033267 153775783 1076430481