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142610382 = 2351741421
BaseRepresentation
bin10001000000000…
…00111111001110
3100221100100200000
420200000333032
5243002013012
622052345130
73351111465
oct1040007716
9327310600
10142610382
1173555322
123b9151a6
1323712555
1414d239dc
15c7beddc
hex8800fce

142610382 has 96 divisors (see below), whose sum is σ = 348382944. Its totient is φ = 43545600.

The previous prime is 142610353. The next prime is 142610389. The reversal of 142610382 is 283016241.

142610382 is a `hidden beast` number, since 1 + 42 + 610 + 3 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142610389) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 338532 + ... + 338952.

It is an arithmetic number, because the mean of its divisors is an integer number (3628989).

Almost surely, 2142610382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142610382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191472).

142610382 is an abundant number, since it is smaller than the sum of its proper divisors (205772562).

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

142610382 is a wasteful number, since it uses less digits than its factorization.

142610382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142610382 is about 11941.9588845382. The cubic root of 142610382 is about 522.4567939671.

The spelling of 142610382 in words is "one hundred forty-two million, six hundred ten thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 243 246 306 369 421 459 486 697 738 842 918 1107 1263 1377 1394 2091 2214 2526 2754 3321 3789 4131 4182 6273 6642 7157 7578 8262 9963 11367 12546 14314 17261 18819 19926 21471 22734 34101 34522 37638 42942 51783 56457 64413 68202 102303 103566 112914 128826 155349 169371 193239 204606 293437 310698 338742 386478 466047 579717 586874 880311 932094 1159434 1398141 1739151 1760622 2640933 2796282 3478302 4194423 5281866 7922799 8388846 15845598 23768397 47536794 71305191 142610382