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1075034142 = 2327134315263
BaseRepresentation
bin100000000010011…
…1011100000011110
32202220212101121100
41000010323200132
54200202043032
6254401413530
735432432220
oct10004734036
92686771540
101075034142
11501913076
1226003a2a6
1314194c1a0
14a2ac0410
15645a397c
hex4013b81e

1075034142 has 96 divisors (see below), whose sum is σ = 2933618688. Its totient is φ = 276913728.

The previous prime is 1075034137. The next prime is 1075034161. The reversal of 1075034142 is 2414305701.

1075034142 is a `hidden beast` number, since 10 + 7 + 503 + 4 + 142 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62803 + ... + 78065.

It is an arithmetic number, because the mean of its divisors is an integer number (30558528).

Almost surely, 21075034142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075034142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466809344).

1075034142 is an abundant number, since it is smaller than the sum of its proper divisors (1858584546).

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

1075034142 is a wasteful number, since it uses less digits than its factorization.

1075034142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15334 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1075034142 is about 32787.7132779949. The cubic root of 1075034142 is about 1024.4106521236.

Adding to 1075034142 its reverse (2414305701), we get a palindrome (3489339843).

The spelling of 1075034142 in words is "one billion, seventy-five million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 387 546 559 602 774 819 903 1118 1638 1677 1806 2709 3354 3913 5031 5418 7826 10062 11739 15263 23478 30526 35217 45789 70434 91578 106841 137367 198419 213682 274734 320523 396838 595257 641046 656309 961569 1190514 1312618 1388933 1785771 1923138 1968927 2777866 3571542 3937854 4166799 4594163 5906781 8333598 8532017 9188326 11813562 12500397 13782489 17064034 25000794 25596051 27564978 41347467 51192102 59724119 76788153 82694934 119448238 153576306 179172357 358344714 537517071 1075034142