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140103200 = 2552175129
BaseRepresentation
bin10000101100111…
…00111000100000
3100202121222110102
420112130320200
5241331300300
621522521532
73320600066
oct1026347040
9322558412
10140103200
11720a2676
123ab062a8
1323045303
1414870036
15c4770d5
hex859ce20

140103200 has 36 divisors (see below), whose sum is σ = 342028890. Its totient is φ = 56040960.

The previous prime is 140103179. The next prime is 140103203. The reversal of 140103200 is 2301041.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 114661264 + 25441936 = 10708^2 + 5044^2 .

It is not an unprimeable number, because it can be changed into a prime (140103203) 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 5 ways as a sum of consecutive naturals, for example, 86765 + ... + 88364.

Almost surely, 2140103200 is an apocalyptic number.

140103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140103200 is an abundant number, since it is smaller than the sum of its proper divisors (201925690).

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

140103200 is a wasteful number, since it uses less digits than its factorization.

140103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175149 (or 175136 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 140103200 is about 11836.5197587804. The cubic root of 140103200 is about 519.3769658459.

Adding to 140103200 its reverse (2301041), we get a palindrome (142404241).

It can be divided in two parts, 140 and 103200, that multiplied together give a triangular number (14448000 = T5375).

The spelling of 140103200 in words is "one hundred forty million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 175129 350258 700516 875645 1401032 1751290 2802064 3502580 4378225 5604128 7005160 8756450 14010320 17512900 28020640 35025800 70051600 140103200