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1068120024 = 233537111827
BaseRepresentation
bin111111101010100…
…011011111011000
32202102212010012220
4333222203133120
54141414320044
6253553304040
735316604356
oct7752433730
92672763186
101068120024
114a8a20424
12259865020
1314039b0aa
14a1c007d6
1563b8a019
hex3faa37d8

1068120024 has 64 divisors (see below), whose sum is σ = 2759235840. Its totient is φ = 344373120.

The previous prime is 1068119981. The next prime is 1068120071. The reversal of 1068120024 is 4200218601.

It is a super-2 number, since 2×10681200242 = 2281760771339521152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1068119976 and 1068120003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84399 + ... + 96225.

It is an arithmetic number, because the mean of its divisors is an integer number (43113060).

Almost surely, 21068120024 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 1068120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379617920).

1068120024 is an abundant number, since it is smaller than the sum of its proper divisors (1691115816).

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

1068120024 is a wasteful number, since it uses less digits than its factorization.

1068120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1068120024 is about 32682.1055625246. The cubic root of 1068120024 is about 1022.2097498548.

Adding to 1068120024 its reverse (4200218601), we get a palindrome (5268338625).

The spelling of 1068120024 in words is "one billion, sixty-eight million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 159 212 213 284 318 424 426 568 636 852 1272 1704 3763 7526 11289 11827 15052 22578 23654 30104 35481 45156 47308 70962 90312 94616 141924 283848 626831 839717 1253662 1679434 1880493 2507324 2519151 3358868 3760986 5014648 5038302 6717736 7521972 10076604 15043944 20153208 44505001 89010002 133515003 178020004 267030006 356040008 534060012 1068120024