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141085800 = 2335522903
BaseRepresentation
bin10000110100011…
…00110001101000
3100211110220100000
420122030301220
5242104221200
621555543000
73332131602
oct1032146150
9324426300
10141085800
1172703939
123b2baa60
13232ca62b
1414a48172
15c5bd300
hex868cc68

141085800 has 144 divisors (see below), whose sum is σ = 491531040. Its totient is φ = 37609920.

The previous prime is 141085787. The next prime is 141085817. The reversal of 141085800 is 8580141.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 47149 + ... + 50051.

It is an arithmetic number, because the mean of its divisors is an integer number (3413410).

Almost surely, 2141085800 is an apocalyptic number.

141085800 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 141085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

141085800 is an abundant number, since it is smaller than the sum of its proper divisors (350445240).

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

141085800 is a wasteful number, since it uses less digits than its factorization.

141085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 141085800 is about 11877.9543693348. The cubic root of 141085800 is about 520.5883380367.

The spelling of 141085800 in words is "one hundred forty-one million, eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 2903 3240 4050 4860 5400 5806 6075 8100 8709 9720 11612 12150 14515 16200 17418 23224 24300 26127 29030 34836 43545 48600 52254 58060 69672 72575 78381 87090 104508 116120 130635 145150 156762 174180 209016 217725 235143 261270 290300 313524 348360 391905 435450 470286 522540 580600 627048 653175 705429 783810 870900 940572 1045080 1175715 1306350 1410858 1567620 1741800 1881144 1959525 2351430 2612700 2821716 3135240 3527145 3919050 4702860 5225400 5643432 5878575 7054290 7838100 9405720 11757150 14108580 15676200 17635725 23514300 28217160 35271450 47028600 70542900 141085800