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1064140242 = 2311611012617
BaseRepresentation
bin111111011011010…
…111110111010010
32202011100220222120
4333123113313102
54134404441432
6253332115110
735241020454
oct7733276722
92664326876
101064140242
114a6752350
12258465a96
1313c6067a9
14a14862d4
1563650c2c
hex3f6d7dd2

1064140242 has 64 divisors (see below), whose sum is σ = 2384097408. Its totient is φ = 313920000.

The previous prime is 1064140237. The next prime is 1064140243. The reversal of 1064140242 is 2420414601.

It is a happy number.

It is a super-3 number, since 3×10641402423 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1064140243) 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, 405318 + ... + 407934.

It is an arithmetic number, because the mean of its divisors is an integer number (37251522).

Almost surely, 21064140242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064140242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192048704).

1064140242 is an abundant number, since it is smaller than the sum of its proper divisors (1319957166).

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

1064140242 is a wasteful number, since it uses less digits than its factorization.

1064140242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1064140242 is about 32621.1624869501. The cubic root of 1064140242 is about 1020.9385958698.

Adding to 1064140242 its reverse (2420414601), we get a palindrome (3484554843).

The spelling of 1064140242 in words is "one billion, sixty-four million, one hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 61 66 101 122 183 202 303 366 606 671 1111 1342 2013 2222 2617 3333 4026 5234 6161 6666 7851 12322 15702 18483 28787 36966 57574 67771 86361 135542 159637 172722 203313 264317 319274 406626 478911 528634 792951 957822 1585902 1756007 2907487 3512014 5268021 5814974 8722461 10536042 16123337 17444922 32246674 48370011 96740022 177356707 354713414 532070121 1064140242