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142352200 = 23521973613
BaseRepresentation
bin10000111110000…
…01111101001000
3100220212020111201
420133001331020
5242420232300
622043033544
73345654664
oct1037017510
9326766451
10142352200
1173399351
123b80b8b4
1323651b93
1414c978a4
15c76d66a
hex87c1f48

142352200 has 48 divisors (see below), whose sum is σ = 332740980. Its totient is φ = 56636160.

The previous prime is 142352173. The next prime is 142352201. The reversal of 142352200 is 2253241.

142352200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43270084 + 99082116 = 6578^2 + 9954^2 .

It is not an unprimeable number, because it can be changed into a prime (142352201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37594 + ... + 41206.

Almost surely, 2142352200 is an apocalyptic number.

142352200 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 142352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166370490).

142352200 is an abundant number, since it is smaller than the sum of its proper divisors (190388780).

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

142352200 is a wasteful number, since it uses less digits than its factorization.

142352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 142352200 is about 11931.1441194883. The cubic root of 142352200 is about 522.1413180504.

The spelling of 142352200 in words is "one hundred forty-two million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 788 985 1576 1970 3613 3940 4925 7226 7880 9850 14452 18065 19700 28904 36130 39400 72260 90325 144520 180650 361300 711761 722600 1423522 2847044 3558805 5694088 7117610 14235220 17794025 28470440 35588050 71176100 142352200