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142336000 = 21353139
BaseRepresentation
bin10000111101111…
…10000000000000
3100220211102021201
420132332000000
5242414223000
622042430544
73345556522
oct1036760000
9326742251
10142336000
1173388164
123b802454
13236476b1
1414c91a12
15c76896a
hex87be000

142336000 has 112 divisors (see below), whose sum is σ = 357804720. Its totient is φ = 56524800.

The previous prime is 142335989. The next prime is 142336021. The reversal of 142336000 is 633241.

142336000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023931 + ... + 1024069.

It is an arithmetic number, because the mean of its divisors is an integer number (3194685).

Almost surely, 2142336000 is an apocalyptic number.

142336000 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 142336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902360).

142336000 is an abundant number, since it is smaller than the sum of its proper divisors (215468720).

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

142336000 is an frugal number, since it uses more digits than its factorization.

142336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 142336000 is about 11930.4652046766. The cubic root of 142336000 is about 522.1215103475.

Adding to 142336000 its reverse (633241), we get a palindrome (142969241).

The spelling of 142336000 in words is "one hundred forty-two million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 139 160 200 250 256 278 320 400 500 512 556 640 695 800 1000 1024 1112 1280 1390 1600 2000 2048 2224 2560 2780 3200 3475 4000 4096 4448 5120 5560 6400 6950 8000 8192 8896 10240 11120 12800 13900 16000 17375 17792 20480 22240 25600 27800 32000 34750 35584 40960 44480 51200 55600 64000 69500 71168 88960 102400 111200 128000 139000 142336 177920 204800 222400 256000 278000 284672 355840 444800 512000 556000 569344 711680 889600 1024000 1112000 1138688 1423360 1779200 2224000 2846720 3558400 4448000 5693440 7116800 8896000 14233600 17792000 28467200 35584000 71168000 142336000