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1145327568 = 243721144269
BaseRepresentation
bin100010001000100…
…0100111111010000
32221211010200001120
41010101010333100
54321200440233
6305352202240
740245060300
oct10421047720
92854120046
101145327568
11538564610
1227b699380
13153391428
14ac17b600
156a83b4b3
hex44444fd0

1145327568 has 120 divisors (see below), whose sum is σ = 3754804320. Its totient is φ = 297480960.

The previous prime is 1145327567. The next prime is 1145327591. The reversal of 1145327568 is 8657235411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145327567) 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, 3738 + ... + 48006.

It is an arithmetic number, because the mean of its divisors is an integer number (31290036).

Almost surely, 21145327568 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 1145327568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877402160).

1145327568 is an abundant number, since it is smaller than the sum of its proper divisors (2609476752).

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

1145327568 is a wasteful number, since it uses less digits than its factorization.

1145327568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44305 (or 44292 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 1145327568 is about 33842.6885456815. The cubic root of 1145327568 is about 1046.2687117265.

The spelling of 1145327568 in words is "one billion, one hundred forty-five million, three hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 44269 88538 132807 177076 265614 309883 354152 486959 531228 619766 708304 929649 973918 1062456 1239532 1460877 1859298 1947836 2124912 2169181 2479064 2921754 3408713 3718596 3895672 4338362 4958128 5843508 6507543 6817426 7437192 7791344 8676724 10226139 11687016 13015086 13634852 14874384 17353448 20452278 23374032 23860991 26030172 27269704 34706896 40904556 47721982 52060344 54539408 71582973 81809112 95443964 104120688 143165946 163618224 190887928 286331892 381775856 572663784 1145327568