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1064051142 = 237114749003
BaseRepresentation
bin111111011011000…
…010000111000110
32202011012101202120
4333123002013012
54134344114032
6253330150410
735240166630
oct7733020706
92664171676
101064051142
114a66a1410
12258422406
1313c5a507b
14a1461a50
156363462c
hex3f6c21c6

1064051142 has 64 divisors (see below), whose sum is σ = 2709725184. Its totient is φ = 270491040.

The previous prime is 1064051141. The next prime is 1064051207. The reversal of 1064051142 is 2411504601.

It is a happy number.

It is a super-2 number, since 2×10640511422 = 2264409665583008328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064051141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788 + ... + 46215.

It is an arithmetic number, because the mean of its divisors is an integer number (42339456).

Almost surely, 21064051142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064051142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354862592).

1064051142 is an abundant number, since it is smaller than the sum of its proper divisors (1645674042).

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

1064051142 is a wasteful number, since it uses less digits than its factorization.

1064051142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49073.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1064051142 is about 32619.7967804829. The cubic root of 1064051142 is about 1020.9101008262.

Adding to 1064051142 its reverse (2411504601), we get a palindrome (3475555743).

The spelling of 1064051142 in words is "one billion, sixty-four million, fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 3102 3619 7238 10857 21714 49003 98006 147009 294018 343021 539033 686042 1029063 1078066 1617099 2058126 2303141 3234198 3773231 4606282 6909423 7546462 11319693 13818846 16121987 22639386 25334551 32243974 48365961 50669102 76003653 96731922 152007306 177341857 354683714 532025571 1064051142