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1076320116 = 2233174712473
BaseRepresentation
bin100000000100111…
…0101011101110100
32210000021201122000
41000021311131310
54201014220431
6254445135300
735446366344
oct10011653564
92700251560
101076320116
11502611263
1226055a530
13141cac611
14a2d36d24
15647599e6
hex40275774

1076320116 has 96 divisors (see below), whose sum is σ = 3017710080. Its totient is φ = 330458112.

The previous prime is 1076320109. The next prime is 1076320127. The reversal of 1076320116 is 6110236701.

1076320116 is a `hidden beast` number, since 10 + 7 + 632 + 0 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1076320116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80056 + ... + 92528.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 21076320116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076320116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

1076320116 is an abundant number, since it is smaller than the sum of its proper divisors (1941389964).

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

1076320116 is a wasteful number, since it uses less digits than its factorization.

1076320116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12550 (or 12542 counting only the distinct ones).

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

The square root of 1076320116 is about 32807.3180250992. The cubic root of 1076320116 is about 1024.8189618000.

Adding to 1076320116 its reverse (6110236701), we get a palindrome (7186556817).

The spelling of 1076320116 in words is "one billion, seventy-six million, three hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 94 102 108 141 153 188 204 282 306 423 459 564 612 799 846 918 1269 1598 1692 1836 2397 2538 3196 4794 5076 7191 9588 12473 14382 21573 24946 28764 37419 43146 49892 74838 86292 112257 149676 212041 224514 336771 424082 449028 586231 636123 673542 848164 1172462 1272246 1347084 1758693 1908369 2344924 2544492 3517386 3816738 5276079 5725107 7034772 7633476 9965927 10552158 11450214 15828237 19931854 21104316 22900428 29897781 31656474 39863708 59795562 63312948 89693343 119591124 179386686 269080029 358773372 538160058 1076320116