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141331060 = 225133371613
BaseRepresentation
bin10000110110010…
…00101001110100
3100211221100202201
420123020221310
5242140043220
622005114244
73334202623
oct1033105164
9324840681
10141331060
1172861132
123b3b8984
1323385160
1414aad6ba
15c61ad0a
hex86c8a74

141331060 has 48 divisors (see below), whose sum is σ = 320772816. Its totient is φ = 51996672.

The previous prime is 141331051. The next prime is 141331087. The reversal of 141331060 is 60133141.

141331060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14227984 + 127103076 = 3772^2 + 11274^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86814 + ... + 88426.

It is an arithmetic number, because the mean of its divisors is an integer number (6682767).

Almost surely, 2141331060 is an apocalyptic number.

141331060 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 141331060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160386408).

141331060 is an abundant number, since it is smaller than the sum of its proper divisors (179441756).

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

141331060 is a wasteful number, since it uses less digits than its factorization.

141331060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 141331060 is about 11888.2740547146. The cubic root of 141331060 is about 520.8898226232.

The spelling of 141331060 in words is "one hundred forty-one million, three hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 337 674 1348 1613 1685 3226 3370 4381 6452 6740 8065 8762 16130 17524 20969 21905 32260 41938 43810 83876 87620 104845 209690 419380 543581 1087162 2174324 2717905 5435810 7066553 10871620 14133106 28266212 35332765 70665530 141331060