Search a number
-
+
142916928 = 26372111381
BaseRepresentation
bin10001000010010…
…11110101000000
3100221220221011120
420201023311000
5243041320203
622103112240
73353526300
oct1041136500
9327827146
10142916928
1173744670
123ba42680
13237bbc3b
1414da3600
15c830b53
hex884bd40

142916928 has 168 divisors, whose sum is σ = 480206304. Its totient is φ = 37094400.

The previous prime is 142916899. The next prime is 142916941. The reversal of 142916928 is 829619241.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 142916928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102798 + ... + 104178.

Almost surely, 2142916928 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 142916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240103152).

142916928 is an abundant number, since it is smaller than the sum of its proper divisors (337289376).

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

142916928 is a wasteful number, since it uses less digits than its factorization.

142916928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1404 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 142916928 is about 11954.7868236954. The cubic root of 142916928 is about 522.8308724425.

The spelling of 142916928 in words is "one hundred forty-two million, nine hundred sixteen thousand, nine hundred twenty-eight".