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1106241084 = 2233134991579
BaseRepresentation
bin100000111101111…
…1110011000111100
32212002120212111000
41001323332120330
54231144203314
6301434330300
736261615444
oct10173763074
92762525430
101106241084
11518498333
1226a589990
13148257630
14a6cc5124
15671ba209
hex41efe63c

1106241084 has 96 divisors (see below), whose sum is σ = 3096800000. Its totient is φ = 339484608.

The previous prime is 1106241083. The next prime is 1106241137. The reversal of 1106241084 is 4801426011.

It is a happy number.

1106241084 is a `hidden beast` number, since 110 + 62 + 410 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106241083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699807 + ... + 701385.

Almost surely, 21106241084 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 1106241084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548400000).

1106241084 is an abundant number, since it is smaller than the sum of its proper divisors (1990558916).

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

1106241084 is a wasteful number, since it uses less digits than its factorization.

1106241084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1106241084 is about 33260.2027053354. The cubic root of 1106241084 is about 1034.2287217553.

Adding to 1106241084 its reverse (4801426011), we get a palindrome (5907667095).

The spelling of 1106241084 in words is "one billion, one hundred six million, two hundred forty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 499 702 998 1404 1497 1579 1996 2994 3158 4491 4737 5988 6316 6487 8982 9474 12974 13473 14211 17964 18948 19461 20527 25948 26946 28422 38922 41054 42633 53892 56844 58383 61581 77844 82108 85266 116766 123162 170532 175149 184743 233532 246324 350298 369486 554229 700596 738972 787921 1108458 1575842 2216916 2363763 3151684 4727526 7091289 9455052 10242973 14182578 20485946 21273867 28365156 30728919 40971892 42547734 61457838 85095468 92186757 122915676 184373514 276560271 368747028 553120542 1106241084