Search a number
-
+
141128760 = 23357914887
BaseRepresentation
bin10000110100101…
…11010000111000
3100211120002021010
420122113100320
5242112110020
622000513520
73332401053
oct1032272070
9324502233
10141128760
1172733143
123b31b8a0
1323314056
1414a59a9a
15c5cade0
hex8697438

141128760 has 64 divisors (see below), whose sum is σ = 428774400. Its totient is φ = 37155456.

The previous prime is 141128753. The next prime is 141128797. The reversal of 141128760 is 67821141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2037 + ... + 16923.

It is an arithmetic number, because the mean of its divisors is an integer number (6699600).

Almost surely, 2141128760 is an apocalyptic number.

141128760 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 141128760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214387200).

141128760 is an abundant number, since it is smaller than the sum of its proper divisors (287645640).

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

141128760 is a wasteful number, since it uses less digits than its factorization.

141128760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14980 (or 14976 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 141128760 is about 11879.7626238911. The cubic root of 141128760 is about 520.6411716208.

The spelling of 141128760 in words is "one hundred forty-one million, one hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 14887 29774 44661 59548 74435 89322 119096 148870 178644 223305 297740 357288 446610 595480 893220 1176073 1786440 2352146 3528219 4704292 5880365 7056438 9408584 11760730 14112876 17641095 23521460 28225752 35282190 47042920 70564380 141128760