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142218340 = 225114115767
BaseRepresentation
bin10000111101000…
…01010001100100
3100220121102212221
420132201101210
5242401441330
622040122124
73344556505
oct1036412144
9326542787
10142218340
1173307820
123b766344
1323605c84
1414c60bac
15c743b7a
hex87a1464

142218340 has 48 divisors (see below), whose sum is σ = 333777024. Its totient is φ = 50451200.

The previous prime is 142218331. The next prime is 142218341. The reversal of 142218340 is 43812241.

It is not an unprimeable number, because it can be changed into a prime (142218341) 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 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 16903.

It is an arithmetic number, because the mean of its divisors is an integer number (6953688).

Almost surely, 2142218340 is an apocalyptic number.

142218340 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 142218340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166888512).

142218340 is an abundant number, since it is smaller than the sum of its proper divisors (191558684).

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

142218340 is a wasteful number, since it uses less digits than its factorization.

142218340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 142218340 is about 11925.5331117732. The cubic root of 142218340 is about 521.9776026170.

The spelling of 142218340 in words is "one hundred forty-two million, two hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 15767 31534 63068 78835 157670 173437 315340 346874 646447 693748 867185 1292894 1734370 2585788 3232235 3468740 6464470 7110917 12928940 14221834 28443668 35554585 71109170 142218340