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142385540 = 225112173461
BaseRepresentation
bin10000111110010…
…10000110000100
3100220220221020112
420133022012010
5242422314130
622043452152
73346154123
oct1037120604
9326827215
10142385540
1173411400
123b827058
13236640cb
1414ca5aba
15c778495
hex87ca184

142385540 has 72 divisors (see below), whose sum is σ = 348097176. Its totient is φ = 48716800.

The previous prime is 142385539. The next prime is 142385549. The reversal of 142385540 is 45583241.

142385540 = 3352 + 3362 + ... + 7742.

It can be written as a sum of positive squares in 4 ways, for example, as 13017664 + 129367876 = 3608^2 + 11374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142385497 and 142385506.

It is not an unprimeable number, because it can be changed into a prime (142385549) 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 23 ways as a sum of consecutive naturals, for example, 39410 + ... + 42870.

It is an arithmetic number, because the mean of its divisors is an integer number (4834683).

Almost surely, 2142385540 is an apocalyptic number.

142385540 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 142385540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048588).

142385540 is an abundant number, since it is smaller than the sum of its proper divisors (205711636).

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

142385540 is a wasteful number, since it uses less digits than its factorization.

142385540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 142385540 is about 11932.5412213828. The cubic root of 142385540 is about 522.1820780636.

The spelling of 142385540 in words is "one hundred forty-two million, three hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3461 3740 4114 6922 8228 10285 13844 17305 20570 34610 38071 41140 58837 69220 76142 117674 152284 190355 235348 294185 380710 418781 588370 647207 761420 837562 1176740 1294414 1675124 2093905 2588828 3236035 4187810 6472070 7119277 8375620 12944140 14238554 28477108 35596385 71192770 142385540