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140112300 = 223521783331
BaseRepresentation
bin10000101100111…
…11000110101100
3100202122102221110
420112133012230
5241332043200
621523032020
73320635446
oct1026370654
9322572843
10140112300
11720a9499
123ab0b610
13230494b3
1414873496
15c479b50
hex859f1ac

140112300 has 144 divisors (see below), whose sum is σ = 435722112. Its totient is φ = 34636800.

The previous prime is 140112277. The next prime is 140112319. The reversal of 140112300 is 3211041.

It is a happy number.

140112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1401123002 = 39262913222580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423135 + ... + 423465.

It is an arithmetic number, because the mean of its divisors is an integer number (3025848).

Almost surely, 2140112300 is an apocalyptic number.

140112300 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 140112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217861056).

140112300 is an abundant number, since it is smaller than the sum of its proper divisors (295609812).

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

140112300 is a wasteful number, since it uses less digits than its factorization.

140112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140112300 is about 11836.9041560705. The cubic root of 140112300 is about 519.3882104810.

Adding to 140112300 its reverse (3211041), we get a palindrome (143323341).

The spelling of 140112300 in words is "one hundred forty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 83 85 100 102 150 166 170 204 249 255 300 331 332 340 415 425 498 510 662 830 850 993 996 1020 1245 1275 1324 1411 1655 1660 1700 1986 2075 2490 2550 2822 3310 3972 4150 4233 4965 4980 5100 5627 5644 6225 6620 7055 8275 8300 8466 9930 11254 12450 14110 16550 16881 16932 19860 21165 22508 24825 24900 27473 28135 28220 33100 33762 35275 42330 49650 54946 56270 67524 70550 82419 84405 84660 99300 105825 109892 112540 137365 140675 141100 164838 168810 211650 274730 281350 329676 337620 412095 422025 423300 467041 549460 562700 686825 824190 844050 934082 1373650 1401123 1648380 1688100 1868164 2060475 2335205 2747300 2802246 4120950 4670410 5604492 7005615 8241900 9340820 11676025 14011230 23352050 28022460 35028075 46704100 70056150 140112300