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141076320 = 25357112347
BaseRepresentation
bin10000110100010…
…10011101100000
3100211110102022220
420122022131200
5242103420240
621555431040
73332062140
oct1032123540
9324412286
10141076320
11726a7800
123b2b5480
13232c6218
1414a44920
15c5ba5d0
hex868a760

141076320 has 288 divisors, whose sum is σ = 559851264. Its totient is φ = 29230080.

The previous prime is 141076297. The next prime is 141076321. The reversal of 141076320 is 23670141.

141076320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141076321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406387 + ... + 406733.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 2141076320 is an apocalyptic number.

141076320 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 141076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279925632).

141076320 is an abundant number, since it is smaller than the sum of its proper divisors (418774944).

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

141076320 is a wasteful number, since it uses less digits than its factorization.

141076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 141076320 is about 11877.5553040177. Note that the first 3 decimals coincide. The cubic root of 141076320 is about 520.5766777846.

The spelling of 141076320 in words is "one hundred forty-one million, seventy-six thousand, three hundred twenty".