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142104248 = 231113314007
BaseRepresentation
bin10000111100001…
…01011010111000
3100220101122101022
420132011122320
5242334313443
622033442012
73343603046
oct1036053270
9326348338
10142104248
117323a030
123b710308
1323596070
1414c31396
15c71ee68
hex87856b8

142104248 has 64 divisors (see below), whose sum is σ = 323205120. Its totient is φ = 57686400.

The previous prime is 142104247. The next prime is 142104257. The reversal of 142104248 is 842401241.

142104248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142104247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33461 + ... + 37467.

It is an arithmetic number, because the mean of its divisors is an integer number (5050080).

Almost surely, 2142104248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142104248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161602560).

142104248 is an abundant number, since it is smaller than the sum of its proper divisors (181100872).

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

142104248 is a wasteful number, since it uses less digits than its factorization.

142104248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 142104248 is about 11920.7486342092. The cubic root of 142104248 is about 521.8379830223.

Adding to 142104248 its reverse (842401241), we get a palindrome (984505489).

The spelling of 142104248 in words is "one hundred forty-two million, one hundred four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4007 4433 8014 8866 16028 17732 32056 35464 44077 52091 88154 104182 124217 176308 208364 248434 352616 416728 496868 573001 993736 1146002 1366387 1614821 2292004 2732774 3229642 4584008 5465548 6459284 10931096 12918568 17763031 35526062 71052124 142104248