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141134600 = 23524316411
BaseRepresentation
bin10000110100110…
…00101100001000
3100211120101021102
420122120230020
5242112301400
622001000532
73332424065
oct1032305410
9324511242
10141134600
1172737572
123b323148
13233168c9
1414a5bc6c
15c5cc9d5
hex8698b08

141134600 has 48 divisors (see below), whose sum is σ = 335789520. Its totient is φ = 55137600.

The previous prime is 141134597. The next prime is 141134657. The reversal of 141134600 is 6431141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (6995615).

Almost surely, 2141134600 is an apocalyptic number.

141134600 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 141134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167894760).

141134600 is an abundant number, since it is smaller than the sum of its proper divisors (194654920).

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

141134600 is a wasteful number, since it uses less digits than its factorization.

141134600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16470 (or 16461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 141134600 is about 11880.0084175054. The cubic root of 141134600 is about 520.6483530120.

Adding to 141134600 its reverse (6431141), we get a palindrome (147565741).

The spelling of 141134600 in words is "one hundred forty-one million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 16411 32822 65644 82055 131288 164110 328220 410275 656440 705673 820550 1411346 1641100 2822692 3282200 3528365 5645384 7056730 14113460 17641825 28226920 35283650 70567300 141134600