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1076260304 = 24723893529
BaseRepresentation
bin100000000100110…
…0110110111010000
32210000011200120202
41000021212313100
54201010312204
6254443554332
735446030100
oct10011466720
92700150522
101076260304
11502580329
1226052b9a8
13141c8b322
14a2d1d200
1564746e1e
hex40266dd0

1076260304 has 60 divisors (see below), whose sum is σ = 2432628900. Its totient is φ = 459938304.

The previous prime is 1076260303. The next prime is 1076260307. The reversal of 1076260304 is 4030626701.

It can be written as a sum of positive squares in 2 ways, for example, as 170250304 + 906010000 = 13048^2 + 30100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076260303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303212 + ... + 306740.

It is an arithmetic number, because the mean of its divisors is an integer number (40543815).

Almost surely, 21076260304 is an apocalyptic number.

1076260304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076260304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216314450).

1076260304 is an abundant number, since it is smaller than the sum of its proper divisors (1356368596).

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

1076260304 is a wasteful number, since it uses less digits than its factorization.

1076260304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1076260304 is about 32806.4064475218. The cubic root of 1076260304 is about 1024.7999781023.

The spelling of 1076260304 in words is "one billion, seventy-six million, two hundred sixty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 389 392 778 784 1556 2723 3112 3529 5446 6224 7058 10892 14116 19061 21784 24703 28232 38122 43568 49406 56464 76244 98812 152488 172921 197624 304976 345842 395248 691684 1372781 1383368 2745562 2766736 5491124 9609467 10982248 19218934 21964496 38437868 67266269 76875736 134532538 153751472 269065076 538130152 1076260304