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141057280 = 2857213173
BaseRepresentation
bin10000110100001…
…01110100000000
3100211102110012201
420122011310000
5242102313110
621555202544
73331652500
oct1032056400
9324373181
10141057280
1172694471
123b2a6454
13232ba660
1414a3ba00
15c5b4b3a
hex8685d00

141057280 has 216 divisors, whose sum is σ = 425720232. Its totient is φ = 44384256.

The previous prime is 141057271. The next prime is 141057281. The reversal of 141057280 is 82750141.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 122943744 = 4256^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141057281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815274 + ... + 815446.

It is an arithmetic number, because the mean of its divisors is an integer number (1970927).

Almost surely, 2141057280 is an apocalyptic number.

141057280 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 141057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212860116).

141057280 is an abundant number, since it is smaller than the sum of its proper divisors (284662952).

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

141057280 is a wasteful number, since it uses less digits than its factorization.

141057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 141057280 is about 11876.7537652340. The cubic root of 141057280 is about 520.5532573035.

The spelling of 141057280 in words is "one hundred forty-one million, fifty-seven thousand, two hundred eighty".