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140105200 = 2452418543
BaseRepresentation
bin10000101100111…
…01010111110000
3100202122002012111
420112131113300
5241331331300
621522535104
73320605654
oct1026352760
9322562174
10140105200
11720a4124
123ab07494
13230461b1
1414870a64
15c4779ba
hex859d5f0

140105200 has 60 divisors (see below), whose sum is σ = 344852928. Its totient is φ = 54668800.

The previous prime is 140105179. The next prime is 140105201. The reversal of 140105200 is 2501041.

140105200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140105201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12129 + ... + 20671.

Almost surely, 2140105200 is an apocalyptic number.

140105200 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 140105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172426464).

140105200 is an abundant number, since it is smaller than the sum of its proper divisors (204747728).

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

140105200 is a wasteful number, since it uses less digits than its factorization.

140105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 140105200 is about 11836.6042427717. The cubic root of 140105200 is about 519.3794372360.

Adding to 140105200 its reverse (2501041), we get a palindrome (142606241).

The spelling of 140105200 in words is "one hundred forty million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 8543 16400 17086 34172 42715 68344 85430 136688 170860 213575 341720 350263 427150 683440 700526 854300 1401052 1708600 1751315 2802104 3417200 3502630 5604208 7005260 8756575 14010520 17513150 28021040 35026300 70052600 140105200