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141240960 = 27325731113
BaseRepresentation
bin10000110101100…
…10101010000000
3100211202210011200
420122302222000
5242124202320
622003141200
73333346140
oct1032625200
9324683150
10141240960
11727aa473
123b374800
1323353143
1414a88920
15c5ee290
hex86b2a80

141240960 has 384 divisors, whose sum is σ = 580469760. Its totient is φ = 30965760.

The previous prime is 141240959. The next prime is 141240971. The reversal of 141240960 is 69042141.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249864 + ... + 1249976.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 2141240960 is an apocalyptic number.

141240960 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 141240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880).

141240960 is an abundant number, since it is smaller than the sum of its proper divisors (439228800).

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

141240960 is a wasteful number, since it uses less digits than its factorization.

141240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 141240960 is about 11884.4840022611. The cubic root of 141240960 is about 520.7791082249.

The spelling of 141240960 in words is "one hundred forty-one million, two hundred forty thousand, nine hundred sixty".