Search a number
-
+
141726816 = 25327211283
BaseRepresentation
bin10000111001010…
…01010001100000
3100212200110122100
420130221101200
5242240224231
622021410400
73340441500
oct1034512140
9325613570
10141726816
1173001500
123b569a00
132349332a
1414b73a00
15c6981e6
hex8729460

141726816 has 324 divisors, whose sum is σ = 521542476. Its totient is φ = 36368640.

The previous prime is 141726811. The next prime is 141726817. The reversal of 141726816 is 618627141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141726811) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1707511 + ... + 1707593.

It is an arithmetic number, because the mean of its divisors is an integer number (1609699).

Almost surely, 2141726816 is an apocalyptic number.

141726816 is a gapful number since it is divisible by the number (16) 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 141726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260771238).

141726816 is an abundant number, since it is smaller than the sum of its proper divisors (379815660).

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

141726816 is a wasteful number, since it uses less digits than its factorization.

141726816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 141726816 is about 11904.9072234940. The cubic root of 141726816 is about 521.3755690096.

The spelling of 141726816 in words is "one hundred forty-one million, seven hundred twenty-six thousand, eight hundred sixteen".