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142368300 = 22335267787
BaseRepresentation
bin10000111110001…
…01111000101100
3100220220001121000
420133011320230
5242421241200
622043240300
73346052634
oct1037057054
9326801530
10142368300
11733aa458
123b819090
13236592c9
1414c9d6c4
15c773300
hex87c5e2c

142368300 has 144 divisors (see below), whose sum is σ = 465109120. Its totient is φ = 37350720.

The previous prime is 142368299. The next prime is 142368371. The reversal of 142368300 is 3863241.

It is a happy number.

142368300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

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, 180507 + ... + 181293.

Almost surely, 2142368300 is an apocalyptic number.

142368300 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 142368300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232554560).

142368300 is an abundant number, since it is smaller than the sum of its proper divisors (322740820).

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

142368300 is a wasteful number, since it uses less digits than its factorization.

142368300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142368300 is about 11931.8188051948. The cubic root of 142368300 is about 522.1610019947.

The spelling of 142368300 in words is "one hundred forty-two million, three hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 450 540 603 670 675 787 804 900 1005 1206 1340 1350 1574 1675 1809 2010 2361 2412 2700 3015 3148 3350 3618 3935 4020 4722 5025 6030 6700 7083 7236 7870 9045 9444 10050 11805 12060 14166 15075 15740 18090 19675 20100 21249 23610 28332 30150 35415 36180 39350 42498 45225 47220 52729 59025 60300 70830 78700 84996 90450 105458 106245 118050 141660 158187 177075 180900 210916 212490 236100 263645 316374 354150 424980 474561 527290 531225 632748 708300 790935 949122 1054580 1062450 1318225 1423683 1581870 1898244 2124900 2372805 2636450 2847366 3163740 3954675 4745610 5272900 5694732 7118415 7909350 9491220 11864025 14236830 15818700 23728050 28473660 35592075 47456100 71184150 142368300