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141135000 = 23354972
BaseRepresentation
bin10000110100110…
…00110010011000
3100211120101211020
420122120302120
5242112310000
622001002440
73332425206
oct1032306230
9324511736
10141135000
11727378a6
123b323420
1323316b46
1414a5c076
15c5ccba0
hex8698c98

141135000 has 120 divisors (see below), whose sum is σ = 445498020. Its totient is φ = 37248000.

The previous prime is 141134999. The next prime is 141135013. The reversal of 141135000 is 531141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1454952 + ... + 1455048.

Almost surely, 2141135000 is an apocalyptic number.

141135000 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 141135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222749010).

141135000 is an abundant number, since it is smaller than the sum of its proper divisors (304363020).

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

141135000 is an frugal number, since it uses more digits than its factorization.

141135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 141135000 is about 11880.0252524984. The cubic root of 141135000 is about 520.6488448808.

Adding to 141135000 its reverse (531141), we get a palindrome (141666141).

The spelling of 141135000 in words is "one hundred forty-one million, one hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 125 150 194 200 250 291 300 375 388 485 500 582 600 625 750 776 970 1000 1164 1250 1455 1500 1875 1940 2328 2425 2500 2910 3000 3750 3880 4850 5000 5820 7275 7500 9409 9700 11640 12125 14550 15000 18818 19400 24250 28227 29100 36375 37636 47045 48500 56454 58200 60625 72750 75272 94090 97000 112908 121250 141135 145500 181875 188180 225816 235225 242500 282270 291000 363750 376360 470450 485000 564540 705675 727500 940900 1129080 1176125 1411350 1455000 1881800 2352250 2822700 3528375 4704500 5645400 5880625 7056750 9409000 11761250 14113500 17641875 23522500 28227000 35283750 47045000 70567500 141135000