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141628300 = 225211199647
BaseRepresentation
bin10000111000100…
…01001110001100
3100212111110111121
420130101032030
5242224101200
622015330324
73336551332
oct1034211614
9325443447
10141628300
1172a44490
123b5209a4
132345a538
1414b49b52
15c678e1a
hex871138c

141628300 has 72 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 51163200.

The previous prime is 141628297. The next prime is 141628307. The reversal of 141628300 is 3826141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (141628307) 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 23 ways as a sum of consecutive naturals, for example, 218577 + ... + 219223.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2141628300 is an apocalyptic number.

141628300 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 141628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

141628300 is an abundant number, since it is smaller than the sum of its proper divisors (195850100).

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

141628300 is a wasteful number, since it uses less digits than its factorization.

141628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 141628300 is about 11900.7688827235. The cubic root of 141628300 is about 521.2547362159.

The spelling of 141628300 in words is "one hundred forty-one million, six hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 647 796 995 1100 1294 1990 2189 2588 3235 3980 4378 4975 6470 7117 8756 9950 10945 12940 14234 16175 19900 21890 28468 32350 35585 43780 54725 64700 71170 109450 128753 142340 177925 218900 257506 355850 515012 643765 711700 1287530 1416283 2575060 2832566 3218825 5665132 6437650 7081415 12875300 14162830 28325660 35407075 70814150 141628300