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141986328 = 23311896043
BaseRepresentation
bin10000111011010…
…00101000011000
3100220011122121220
420131220220120
5242322030303
622031132040
73342602211
oct1035505030
9326148556
10141986328
1173169480
123b674020
13235544a3
1414c00408
15c6ea053
hex8768a18

141986328 has 64 divisors (see below), whose sum is σ = 391651200. Its totient is φ = 42535680.

The previous prime is 141986323. The next prime is 141986359. The reversal of 141986328 is 823689141.

It is a self number, because there is not a number n which added to its sum of digits gives 141986328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141986323) 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 15 ways as a sum of consecutive naturals, for example, 20475 + ... + 26517.

It is an arithmetic number, because the mean of its divisors is an integer number (6119550).

Almost surely, 2141986328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141986328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195825600).

141986328 is an abundant number, since it is smaller than the sum of its proper divisors (249664872).

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

141986328 is a wasteful number, since it uses less digits than its factorization.

141986328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6148 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 141986328 is about 11915.8016096274. The cubic root of 141986328 is about 521.6936003723.

The spelling of 141986328 in words is "one hundred forty-one million, nine hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 6043 7832 11748 12086 18129 23496 24172 36258 48344 66473 72516 132946 145032 199419 265892 398838 531784 537827 797676 1075654 1595352 1613481 2151308 3226962 4302616 5916097 6453924 11832194 12907848 17748291 23664388 35496582 47328776 70993164 141986328