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1075144016 = 242323312539
BaseRepresentation
bin100000000010101…
…0110010101010000
32202221001222022202
41000011112111100
54200214102031
6254404022332
735433400442
oct10005262520
92687058282
101075144016
11501988681
122600919a8
1314198a1bb
14a2b0c492
15645c62cb
hex40156550

1075144016 has 40 divisors (see below), whose sum is σ = 2183163840. Its totient is φ = 511951616.

The previous prime is 1075143997. The next prime is 1075144019. The reversal of 1075144016 is 6104415701.

It is a self number, because there is not a number n which added to its sum of digits gives 1075144016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075144019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79475 + ... + 92013.

It is an arithmetic number, because the mean of its divisors is an integer number (54579096).

Almost surely, 21075144016 is an apocalyptic number.

1075144016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

1075144016 is an abundant number, since it is smaller than the sum of its proper divisors (1108019824).

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

1075144016 is a wasteful number, since it uses less digits than its factorization.

1075144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12797 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1075144016 is about 32789.3887713693. The cubic root of 1075144016 is about 1024.4455509413.

Adding to 1075144016 its reverse (6104415701), we get a palindrome (7179559717).

The spelling of 1075144016 in words is "one billion, seventy-five million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 233 368 466 932 1864 3728 5359 10718 12539 21436 25078 42872 50156 85744 100312 200624 288397 576794 1153588 2307176 2921587 4614352 5843174 11686348 23372696 46745392 67196501 134393002 268786004 537572008 1075144016