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141341760 = 2634571941
BaseRepresentation
bin10000110110010…
…11010001000000
3100211221220110000
420123023101000
5242140414020
622005240000
73334246050
oct1033132100
9324856400
10141341760
117286917a
123b403000
1323389ca1
1414ab3560
15c61e090
hex86cb440

141341760 has 560 divisors, whose sum is σ = 619597440. Its totient is φ = 29859840.

The previous prime is 141341749. The next prime is 141341789. The reversal of 141341760 is 67143141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447340 + ... + 3447380.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2141341760 is an apocalyptic number.

141341760 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 141341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309798720).

141341760 is an abundant number, since it is smaller than the sum of its proper divisors (478255680).

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

141341760 is a wasteful number, since it uses less digits than its factorization.

141341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 141341760 is about 11888.7240694702. The cubic root of 141341760 is about 520.9029675999.

The spelling of 141341760 in words is "one hundred forty-one million, three hundred forty-one thousand, seven hundred sixty".