Search a number
-
+
142926784 = 26711132397
BaseRepresentation
bin10001000010011…
…10001111000000
3100221221102200121
420201032033000
5243042124114
622103230024
73353600110
oct1041161700
9327842617
10142926784
1173751010
123ba48314
13237c3580
1414da7040
15c833a24
hex884e3c0

142926784 has 224 divisors, whose sum is σ = 401458176. Its totient is φ = 48660480.

The previous prime is 142926767. The next prime is 142926787. The reversal of 142926784 is 487629241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 142926784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142926787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473424 + ... + 1473520.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 2142926784 is an apocalyptic number.

142926784 is a gapful number since it is divisible by the number (14) 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 142926784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200729088).

142926784 is an abundant number, since it is smaller than the sum of its proper divisors (258531392).

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

142926784 is a wasteful number, since it uses less digits than its factorization.

142926784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 142926784 is about 11955.1990364025. The cubic root of 142926784 is about 522.8428908523.

The spelling of 142926784 in words is "one hundred forty-two million, nine hundred twenty-six thousand, seven hundred eighty-four".