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141939072 = 27321123487
BaseRepresentation
bin10000111010111…
…01000110000000
3100220002020210200
420131131012000
5242314022242
622030125200
73342314352
oct1035350600
9326066720
10141939072
1173136a20
123b650800
1323538b22
1414bcb0d2
15c6db04c
hex875d180

141939072 has 192 divisors, whose sum is σ = 465903360. Its totient is φ = 41057280.

The previous prime is 141939043. The next prime is 141939097. The reversal of 141939072 is 270939141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 291213 + ... + 291699.

It is an arithmetic number, because the mean of its divisors is an integer number (2426580).

Almost surely, 2141939072 is an apocalyptic number.

141939072 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 141939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232951680).

141939072 is an abundant number, since it is smaller than the sum of its proper divisors (323964288).

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

141939072 is a wasteful number, since it uses less digits than its factorization.

141939072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 141939072 is about 11913.8185314365. The cubic root of 141939072 is about 521.6357171271.

The spelling of 141939072 in words is "one hundred forty-one million, nine hundred thirty-nine thousand, seventy-two".