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1066349142 = 232717431123
BaseRepresentation
bin111111100011110…
…011001001010110
32202022112011000200
4333203303021112
54140441133032
6253451321330
735265550425
oct7743631126
92668464020
101066349142
114a7a20991
12259150246
1313cbcb031
14a189d2bc
156393a47c
hex3f8f3256

1066349142 has 48 divisors (see below), whose sum is σ = 2348206848. Its totient is φ = 349660080.

The previous prime is 1066349117. The next prime is 1066349143. The reversal of 1066349142 is 2419436601.

1066349142 is a `hidden beast` number, since 1 + 0 + 6 + 634 + 9 + 14 + 2 = 666.

It is a super-2 number, since 2×10663491422 = 2274200985288272328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066349097 and 1066349106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066349143) 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, 948993 + ... + 950115.

It is an arithmetic number, because the mean of its divisors is an integer number (48920976).

Almost surely, 21066349142 is an apocalyptic number.

1066349142 is an abundant number, since it is smaller than the sum of its proper divisors (1281857706).

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

1066349142 is a wasteful number, since it uses less digits than its factorization.

1066349142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1066349142 is about 32655.0017914561. The cubic root of 1066349142 is about 1021.6445155685.

The spelling of 1066349142 in words is "one billion, sixty-six million, three hundred forty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 743 1123 1278 1486 2229 2246 3369 4458 6687 6738 10107 13374 20214 52753 79733 105506 158259 159466 239199 316518 474777 478398 717597 834389 949554 1435194 1668778 2503167 5006334 7509501 15019002 59241619 118483238 177724857 355449714 533174571 1066349142