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1106327684 = 227211246649
BaseRepresentation
bin100000111110001…
…0011100010000100
32212002202021021102
41001330103202010
54231204441214
6301440235232
736262426100
oct10174234204
92762667242
101106327684
11518547400
1226a60bb18
13148287b87
14a6d08900
15671d5bde
hex41f13884

1106327684 has 54 divisors (see below), whose sum is σ = 2475575550. Its totient is φ = 431027520.

The previous prime is 1106327657. The next prime is 1106327711. The reversal of 1106327684 is 4867236011.

It is an interprime number because it is at equal distance from previous prime (1106327657) and next prime (1106327711).

It can be written as a sum of positive squares in only one way, i.e., 996664900 + 109662784 = 31570^2 + 10472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 392 + ... + 47040.

Almost surely, 21106327684 is an apocalyptic number.

1106327684 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 1106327684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237787775).

1106327684 is an abundant number, since it is smaller than the sum of its proper divisors (1369247866).

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

1106327684 is a wasteful number, since it uses less digits than its factorization.

1106327684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46689 (or 46669 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1106327684 is about 33261.5045360248. The cubic root of 1106327684 is about 1034.2557086004.

It can be divided in two parts, 1106327 and 684, that added together give a palindrome (1107011).

The spelling of 1106327684 in words is "one billion, one hundred six million, three hundred twenty-seven thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 46649 93298 186596 326543 513139 653086 1026278 1306172 2052556 2285801 3591973 4571602 5644529 7183946 9143204 11289058 14367892 22578116 25143811 39511703 50287622 79023406 100575244 158046812 276581921 553163842 1106327684