Search a number
-
+
142135420 = 22572813613
BaseRepresentation
bin10000111100011…
…01000001111100
3100220110020010211
420132031001330
5242341313140
622034242204
73344062660
oct1036150174
9326406124
10142135420
1173260499
123b726364
13235a72cb
1414c3c8a0
15c7292ea
hex878d07c

142135420 has 48 divisors (see below), whose sum is σ = 342433728. Its totient is φ = 48545280.

The previous prime is 142135373. The next prime is 142135459. The reversal of 142135420 is 24531241.

It is a junction number, because it is equal to n+sod(n) for n = 142135391 and 142135400.

It is a congruent number.

It is an unprimeable number.

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, 37534 + ... + 41146.

It is an arithmetic number, because the mean of its divisors is an integer number (7134036).

Almost surely, 2142135420 is an apocalyptic number.

142135420 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 142135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171216864).

142135420 is an abundant number, since it is smaller than the sum of its proper divisors (200298308).

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

142135420 is a wasteful number, since it uses less digits than its factorization.

142135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 142135420 is about 11922.0560307356. The cubic root of 142135420 is about 521.8761370408.

Adding to 142135420 its reverse (24531241), we get a palindrome (166666661).

The spelling of 142135420 in words is "one hundred forty-two million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 3613 3934 5620 7226 7868 9835 14452 18065 19670 25291 36130 39340 50582 72260 101164 126455 252910 505820 1015253 2030506 4061012 5076265 7106771 10152530 14213542 20305060 28427084 35533855 71067710 142135420