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1075016196 = 2232291815689
BaseRepresentation
bin100000000010011…
…0111001000000100
32202220211110222200
41000010313020010
54200201004241
6254401154500
735432326002
oct10004671004
92686743880
101075016196
11501900641
1226002ba30
13141943c77
14a2ab7a72
156459d4b6
hex40137204

1075016196 has 72 divisors (see below), whose sum is σ = 2827133400. Its totient is φ = 344010240.

The previous prime is 1075016191. The next prime is 1075016197. The reversal of 1075016196 is 6916105701.

It is a happy number.

1075016196 is a `hidden beast` number, since 1 + 0 + 7 + 501 + 61 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127238400 + 947777796 = 11280^2 + 30786^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1075016196.

It is not an unprimeable number, because it can be changed into a prime (1075016191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186120 + ... + 191808.

Almost surely, 21075016196 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 1075016196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413566700).

1075016196 is an abundant number, since it is smaller than the sum of its proper divisors (1752117204).

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

1075016196 is a wasteful number, since it uses less digits than its factorization.

1075016196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1075016196 is about 32787.4396072642. The cubic root of 1075016196 is about 1024.4049517850.

The spelling of 1075016196 in words is "one billion, seventy-five million, sixteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 181 261 348 362 522 543 724 1044 1086 1629 2172 3258 5249 5689 6516 10498 11378 15747 17067 20996 22756 31494 34134 47241 51201 62988 68268 94482 102402 164981 188964 204804 329962 494943 659924 989886 1029709 1484829 1979772 2059418 2969658 3089127 4118836 5939316 6178254 9267381 12356508 18534762 29861561 37069524 59723122 89584683 119446244 179169366 268754049 358338732 537508098 1075016196