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1190834064 = 243272168769
BaseRepresentation
bin100011011111010…
…1010111110010000
310001222202122020100
41012332222332100
54414323142224
6314055412400
741336631300
oct10676527620
93058678210
101190834064
11561216292
12292984100
1315c935454
14b4225600
156e829ac9
hex46faaf90

1190834064 has 90 divisors (see below), whose sum is σ = 3876815670. Its totient is φ = 340236288.

The previous prime is 1190834041. The next prime is 1190834069. The reversal of 1190834064 is 4604380911.

It can be written as a sum of positive squares in only one way, i.e., 1062238464 + 128595600 = 32592^2 + 11340^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1190834069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77329 + ... + 91440.

Almost surely, 21190834064 is an apocalyptic number.

1190834064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1190834064 is an abundant number, since it is smaller than the sum of its proper divisors (2685981606).

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

1190834064 is a wasteful number, since it uses less digits than its factorization.

1190834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168797 (or 168781 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1190834064 is about 34508.4636574855. The cubic root of 1190834064 is about 1059.9460231207.

The spelling of 1190834064 in words is "one billion, one hundred ninety million, eight hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 168769 337538 506307 675076 1012614 1181383 1350152 1518921 2025228 2362766 2700304 3037842 3544149 4050456 4725532 6075684 7088298 8100912 8269681 9451064 10632447 12151368 14176596 16539362 18902128 21264894 24302736 24809043 28353192 33078724 42529788 49618086 56706384 66157448 74427129 85059576 99236172 132314896 148854258 170119152 198472344 297708516 396944688 595417032 1190834064