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143142132 = 2237383419
BaseRepresentation
bin10001000100000…
…10110011110100
3100222100101002110
420202002303310
5243121022012
622112011020
73355455000
oct1042026364
9328311073
10143142132
1173888891
123bb30a70
132386a5b3
1415021700
15c87773c
hex8882cf4

143142132 has 96 divisors (see below), whose sum is σ = 395136000. Its totient is φ = 40308576.

The previous prime is 143142113. The next prime is 143142151. The reversal of 143142132 is 231241341.

It is an interprime number because it is at equal distance from previous prime (143142113) and next prime (143142151).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 143142099 and 143142108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341419 + ... + 341837.

It is an arithmetic number, because the mean of its divisors is an integer number (4116000).

Almost surely, 2143142132 is an apocalyptic number.

143142132 is a gapful number since it is divisible by the number (12) 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 143142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197568000).

143142132 is an abundant number, since it is smaller than the sum of its proper divisors (251993868).

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

143142132 is a wasteful number, since it uses less digits than its factorization.

143142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 143142132 is about 11964.2021046119. The cubic root of 143142132 is about 523.1053484708.

Adding to 143142132 its reverse (231241341), we get a palindrome (374383473).

The spelling of 143142132 in words is "one hundred forty-three million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 343 419 498 581 588 686 838 996 1029 1162 1257 1372 1676 1743 2058 2324 2514 2933 3486 4067 4116 5028 5866 6972 8134 8799 11732 12201 16268 17598 20531 24402 28469 34777 35196 41062 48804 56938 61593 69554 82124 85407 104331 113876 123186 139108 143717 170814 208662 243439 246372 287434 341628 417324 431151 486878 574868 730317 862302 973756 1460634 1704073 1724604 2921268 3408146 5112219 6816292 10224438 11928511 20448876 23857022 35785533 47714044 71571066 143142132