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141684192 = 25321324171
BaseRepresentation
bin10000111000111…
…10110111100000
3100212121022011200
420130132313200
5242232343232
622020441200
73340203306
oct1034366740
9325538150
10141684192
1172a82481
123b549200
1323479b00
1414b62276
15c68a77c
hex871ede0

141684192 has 216 divisors, whose sum is σ = 453228048. Its totient is φ = 41932800.

The previous prime is 141684181. The next prime is 141684217. The reversal of 141684192 is 291486141.

141684192 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1995517 + ... + 1995587.

It is an arithmetic number, because the mean of its divisors is an integer number (2098278).

Almost surely, 2141684192 is an apocalyptic number.

141684192 is a gapful number since it is divisible by the number (12) 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 141684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226614024).

141684192 is an abundant number, since it is smaller than the sum of its proper divisors (311543856).

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

141684192 is a wasteful number, since it uses less digits than its factorization.

141684192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 141684192 is about 11903.1169027276. The cubic root of 141684192 is about 521.3232962850.

The spelling of 141684192 in words is "one hundred forty-one million, six hundred eighty-four thousand, one hundred ninety-two".