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1135768746 = 23723899931
BaseRepresentation
bin100001110110010…
…0111010010101010
32221011011000211010
41003230213102222
54311224044441
6304411244350
740100606100
oct10354472252
92834130733
101135768746
11533125962
122784496b6
131513c5618
14aabadc70
1569a9e116
hex43b274aa

1135768746 has 48 divisors (see below), whose sum is σ = 2649460320. Its totient is φ = 323638560.

The previous prime is 1135768729. The next prime is 1135768769. The reversal of 1135768746 is 6478675311.

It is a junction number, because it is equal to n+sod(n) for n = 1135768695 and 1135768704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109401 + ... + 119331.

It is an arithmetic number, because the mean of its divisors is an integer number (55197090).

Almost surely, 21135768746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135768746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324730160).

1135768746 is an abundant number, since it is smaller than the sum of its proper divisors (1513691574).

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

1135768746 is a wasteful number, since it uses less digits than its factorization.

1135768746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10332 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 1135768746 is about 33701.1683180272. The cubic root of 1135768746 is about 1043.3498818658.

The spelling of 1135768746 in words is "one billion, one hundred thirty-five million, seven hundred sixty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 389 778 1167 2334 2723 5446 8169 9931 16338 19061 19862 29793 38122 57183 59586 69517 114366 139034 208551 417102 486619 973238 1459857 2919714 3863159 7726318 11589477 23178954 27042113 54084226 81126339 162252678 189294791 378589582 567884373 1135768746