Search a number
-
+
142652672 = 284312959
BaseRepresentation
bin10001000000010…
…11010100000000
3100221102111200022
420200023110000
5243004341142
622053313012
73351346001
oct1040132400
9327374608
10142652672
1173584078
123b935768
1323728886
1414d351a8
15c7cc6d2
hex880b500

142652672 has 36 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 69662208.

The previous prime is 142652663. The next prime is 142652683. The reversal of 142652672 is 276256241.

142652672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4529 + ... + 17487.

It is an arithmetic number, because the mean of its divisors is an integer number (8094240).

Almost surely, 2142652672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

142652672 is an abundant number, since it is smaller than the sum of its proper divisors (148739968).

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

142652672 is an equidigital number, since it uses as much as digits as its factorization.

142652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13004 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 142652672 is about 11943.7294008195. The cubic root of 142652672 is about 522.5084323632.

The spelling of 142652672 in words is "one hundred forty-two million, six hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 5504 11008 12959 25918 51836 103672 207344 414688 557237 829376 1114474 1658752 2228948 3317504 4457896 8915792 17831584 35663168 71326336 142652672