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142638800 = 24521911867
BaseRepresentation
bin10001000000001…
…11111011010000
3100221101210122112
420200013323100
5243003420200
622053124452
73351260363
oct1040077320
9327353575
10142638800
1173574707
123b929728
1323722475
1414d300da
15c7c8535
hex8807ed0

142638800 has 60 divisors (see below), whose sum is σ = 344668416. Its totient is φ = 56726400.

The previous prime is 142638799. The next prime is 142638803. The reversal of 142638800 is 8836241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142638803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 75467 + ... + 77333.

Almost surely, 2142638800 is an apocalyptic number.

142638800 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 142638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172334208).

142638800 is an abundant number, since it is smaller than the sum of its proper divisors (202029616).

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

142638800 is a wasteful number, since it uses less digits than its factorization.

142638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 142638800 is about 11943.1486635644. The cubic root of 142638800 is about 522.4914950196.

The spelling of 142638800 in words is "one hundred forty-two million, six hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 191 200 382 400 764 955 1528 1867 1910 3056 3734 3820 4775 7468 7640 9335 9550 14936 15280 18670 19100 29872 37340 38200 46675 74680 76400 93350 149360 186700 356597 373400 713194 746800 1426388 1782985 2852776 3565970 5705552 7131940 8914925 14263880 17829850 28527760 35659700 71319400 142638800