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141027936 = 2537593557
BaseRepresentation
bin10000110011111…
…10101001100000
3100211100221221220
420121332221200
5242100343221
621554415040
73331501110
oct1031765140
9324327856
10141027936
1172674415
123b291480
13232aa1aa
1414a31040
15c5ab0c6
hex867ea60

141027936 has 96 divisors (see below), whose sum is σ = 430375680. Its totient is φ = 39599616.

The previous prime is 141027923. The next prime is 141027947. The reversal of 141027936 is 639720141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 141027897 and 141027906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37870 + ... + 41426.

It is an arithmetic number, because the mean of its divisors is an integer number (4483080).

Almost surely, 2141027936 is an apocalyptic number.

141027936 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 141027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215187840).

141027936 is an abundant number, since it is smaller than the sum of its proper divisors (289347744).

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

141027936 is a wasteful number, since it uses less digits than its factorization.

141027936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 141027936 is about 11875.5183465818. The cubic root of 141027936 is about 520.5171580816.

The spelling of 141027936 in words is "one hundred forty-one million, twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 3557 4956 5664 6608 7114 9912 10671 13216 14228 19824 21342 24899 28456 39648 42684 49798 56912 74697 85368 99596 113824 149394 170736 199192 209863 298788 341472 398384 419726 597576 629589 796768 839452 1195152 1259178 1469041 1678904 2390304 2518356 2938082 3357808 4407123 5036712 5876164 6715616 8814246 10073424 11752328 17628492 20146848 23504656 35256984 47009312 70513968 141027936