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142334020 = 225311731327
BaseRepresentation
bin10000111101111…
…01100001000100
3100220211022120101
420132331201010
5242414142040
622042413444
73345550663
oct1036754104
9326738511
10142334020
1173386724
123b801284
132364681a
1414c90dda
15c76809a
hex87bd844

142334020 has 48 divisors (see below), whose sum is σ = 310560768. Its totient is φ = 54737280.

The previous prime is 142334011. The next prime is 142334033. The reversal of 142334020 is 20433241.

142334020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 106597 + ... + 107923.

It is an arithmetic number, because the mean of its divisors is an integer number (6470016).

Almost surely, 2142334020 is an apocalyptic number.

142334020 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 142334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155280384).

142334020 is an abundant number, since it is smaller than the sum of its proper divisors (168226748).

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

142334020 is a wasteful number, since it uses less digits than its factorization.

142334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 142334020 is about 11930.3822235501. The cubic root of 142334020 is about 522.1190893030.

Adding to 142334020 its reverse (20433241), we get a palindrome (162767261).

The spelling of 142334020 in words is "one hundred forty-two million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 173 310 346 620 692 865 1327 1730 2654 3460 5308 5363 6635 10726 13270 21452 26540 26815 41137 53630 82274 107260 164548 205685 229571 411370 459142 822740 918284 1147855 2295710 4591420 7116701 14233402 28466804 35583505 71167010 142334020