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141056000 = 211531929
BaseRepresentation
bin10000110100001…
…01100000000000
3100211102101110022
420122011200000
5242102243000
621555153012
73331645661
oct1032054000
9324371408
10141056000
1172693508
123b2a5768
13232b9bb7
1414a3b368
15c5b4585
hex8685800

141056000 has 192 divisors, whose sum is σ = 383292000. Its totient is φ = 51609600.

The previous prime is 141055963. The next prime is 141056009. The reversal of 141056000 is 650141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 141056000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141056009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863986 + ... + 4864014.

Almost surely, 2141056000 is an apocalyptic number.

141056000 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 141056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646000).

141056000 is an abundant number, since it is smaller than the sum of its proper divisors (242236000).

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

141056000 is an equidigital number, since it uses as much as digits as its factorization.

141056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 141056000 is about 11876.6998783332. The cubic root of 141056000 is about 520.5516827417.

The spelling of 141056000 in words is "one hundred forty-one million, fifty-six thousand".