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142236432 = 243313193143
BaseRepresentation
bin10000111101001…
…01101100010000
3100220122100201000
420132211230100
5242403031212
622040342000
73344663322
oct1036455420
9326570630
10142236432
117331a378
123b774900
1323611290
1414c67612
15c7491dc
hex87a5b10

142236432 has 320 divisors, whose sum is σ = 488857600. Its totient is φ = 39191040.

The previous prime is 142236427. The next prime is 142236461. The reversal of 142236432 is 234632241.

142236432 is a `hidden beast` number, since 1 + 4 + 223 + 6 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 142236396 and 142236405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3307803 + ... + 3307845.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 2142236432 is an apocalyptic number.

142236432 is a gapful number since it is divisible by the number (12) 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 142236432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244428800).

142236432 is an abundant number, since it is smaller than the sum of its proper divisors (346621168).

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

142236432 is a wasteful number, since it uses less digits than its factorization.

142236432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 142236432 is about 11926.2916281634. The cubic root of 142236432 is about 521.9997357642. Note that the first 3 decimals are identical.

Adding to 142236432 its reverse (234632241), we get a palindrome (376868673).

The spelling of 142236432 in words is "one hundred forty-two million, two hundred thirty-six thousand, four hundred thirty-two".