Search a number
-
+
141910080 = 26351383137
BaseRepresentation
bin10000111010101…
…10000001000000
3100220000210000220
420131112001000
5242312110310
622025343040
73342134004
oct1035260100
9326023026
10141910080
1173117164
123b637a80
1323528880
1414bc0704
15c6d2670
hex8756040

141910080 has 224 divisors, whose sum is σ = 494653824. Its totient is φ = 34258944.

The previous prime is 141910057. The next prime is 141910081. The reversal of 141910080 is 80019141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141910080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141910081) 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, 1035772 + ... + 1035908.

It is an arithmetic number, because the mean of its divisors is an integer number (2208276).

Almost surely, 2141910080 is an apocalyptic number.

141910080 is a gapful number since it is divisible by the number (10) 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 141910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247326912).

141910080 is an abundant number, since it is smaller than the sum of its proper divisors (352743744).

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

141910080 is a wasteful number, since it uses less digits than its factorization.

141910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 141910080 is about 11912.6017309402. The cubic root of 141910080 is about 521.6001988532.

The spelling of 141910080 in words is "one hundred forty-one million, nine hundred ten thousand, eighty".