Search a number
-
+
141128780 = 225134711549
BaseRepresentation
bin10000110100101…
…11010001001100
3100211120002021212
420122113101030
5242112110110
622000513552
73332401112
oct1032272114
9324502255
10141128780
1172733161
123b31b8b8
1323314070
1414a59ab2
15c5cae05
hex869744c

141128780 has 48 divisors (see below), whose sum is σ = 325987200. Its totient is φ = 50995968.

The previous prime is 141128753. The next prime is 141128797. The reversal of 141128780 is 87821141.

141128780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6446 + ... + 17994.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2141128780 is an apocalyptic number.

141128780 is a gapful number since it is divisible by the number (10) 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 141128780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162993600).

141128780 is an abundant number, since it is smaller than the sum of its proper divisors (184858420).

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

141128780 is a wasteful number, since it uses less digits than its factorization.

141128780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11618 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 141128780 is about 11879.7634656587. The cubic root of 141128780 is about 520.6411962149.

The spelling of 141128780 in words is "one hundred forty-one million, one hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 11549 12220 23098 46196 57745 115490 150137 230980 300274 542803 600548 750685 1085606 1501370 2171212 2714015 3002740 5428030 7056439 10856060 14112878 28225756 35282195 70564390 141128780