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142585240 = 23572412113
BaseRepresentation
bin10000111111110…
…10110110011000
3100221022002011211
420133322312120
5243000211430
622052032504
73350645260
oct1037726630
9327262154
10142585240
1173538446
123b902734
1323703c85
1414d187a0
15c7b772a
hex87fad98

142585240 has 64 divisors (see below), whose sum is σ = 368343360. Its totient is φ = 48660480.

The previous prime is 142585237. The next prime is 142585259. The reversal of 142585240 is 42585241.

142585240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66424 + ... + 68536.

It is an arithmetic number, because the mean of its divisors is an integer number (5755365).

Almost surely, 2142585240 is an apocalyptic number.

142585240 is a gapful number since it is divisible by the number (10) 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 142585240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184171680).

142585240 is an abundant number, since it is smaller than the sum of its proper divisors (225758120).

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

142585240 is a wasteful number, since it uses less digits than its factorization.

142585240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 142585240 is about 11940.9061632692. The cubic root of 142585240 is about 522.4260893752.

Subtracting from 142585240 its reverse (42585241), we obtain a palindrome (99999999).

The spelling of 142585240 in words is "one hundred forty-two million, five hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2113 2410 3374 4226 4820 6748 8435 8452 9640 10565 13496 14791 16870 16904 21130 29582 33740 42260 59164 67480 73955 84520 118328 147910 295820 509233 591640 1018466 2036932 2546165 3564631 4073864 5092330 7129262 10184660 14258524 17823155 20369320 28517048 35646310 71292620 142585240