Search a number
-
+
142576152 = 233191911637
BaseRepresentation
bin10000111111110…
…00101000011000
3100221021121201020
420133320220120
5242444414102
622051522440
73350606625
oct1037705030
9327247636
10142576152
1173531634
123b8b9420
13236ccab4
1414d1534c
15c7b4bbc
hex87f8a18

142576152 has 64 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 44760960.

The previous prime is 142576111. The next prime is 142576153. The reversal of 142576152 is 251675241.

142576152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142576153) 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 15 ways as a sum of consecutive naturals, for example, 86278 + ... + 87914.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2142576152 is an apocalyptic number.

142576152 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 142576152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

142576152 is an abundant number, since it is smaller than the sum of its proper divisors (234819048).

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

142576152 is a wasteful number, since it uses less digits than its factorization.

142576152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1852 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 142576152 is about 11940.5256165715. The cubic root of 142576152 is about 522.4149897944.

It can be divided in two parts, 1425 and 76152, that added together give a palindrome (77577).

The spelling of 142576152 in words is "one hundred forty-two million, five hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 191 228 382 456 573 764 1146 1528 1637 2292 3274 3629 4584 4911 6548 7258 9822 10887 13096 14516 19644 21774 29032 31103 39288 43548 62206 87096 93309 124412 186618 248824 312667 373236 625334 746472 938001 1250668 1876002 2501336 3752004 5940673 7504008 11881346 17822019 23762692 35644038 47525384 71288076 142576152