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141006096 = 2436711157
BaseRepresentation
bin10000110011110…
…01010100010000
3100211022212000000
420121321110100
5242044143341
621554130000
73331350330
oct1031712420
9324285000
10141006096
1172659a70
123b280900
13232a027a
1414a270c0
15c5a48b6
hex8679510

141006096 has 280 divisors, whose sum is σ = 513937344. Its totient is φ = 36391680.

The previous prime is 141006083. The next prime is 141006097. The reversal of 141006096 is 690600141.

It is a super-2 number, since 2×1410060962 = 39765438218322432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (141006097) 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 55 ways as a sum of consecutive naturals, for example, 898050 + ... + 898206.

Almost surely, 2141006096 is an apocalyptic number.

141006096 is a gapful number since it is divisible by the number (16) 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 141006096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256968672).

141006096 is an abundant number, since it is smaller than the sum of its proper divisors (372931248).

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

141006096 is a wasteful number, since it uses less digits than its factorization.

141006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 141006096 is about 11874.5987721691. The cubic root of 141006096 is about 520.4902870896.

141006096 divided by its product of nonzero digits (1296) gives a palindrome (108801).

The spelling of 141006096 in words is "one hundred forty-one million, six thousand, ninety-six".