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61232300 = 225217181199
BaseRepresentation
bin1110100110010…
…1010010101100
311021012220220222
43221211102230
5111133413200
610024230512
71342315553
oct351452254
9137186828
1061232300
1131622808
121860b438
13c8bbb3c
1481bcd9a
155597d85
hex3a654ac

61232300 has 72 divisors (see below), whose sum is σ = 142178400. Its totient is φ = 22809600.

The previous prime is 61232293. The next prime is 61232309. The reversal of 61232300 is 323216.

61232300 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 (17).

It is not an unprimeable number, because it can be changed into a prime (61232309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307601 + ... + 307799.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 261232300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

61232300 is an abundant number, since it is smaller than the sum of its proper divisors (80946100).

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

61232300 is a wasteful number, since it uses less digits than its factorization.

61232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 61232300 is about 7825.1070280220. The cubic root of 61232300 is about 394.1487838543.

Adding to 61232300 its reverse (323216), we get a palindrome (61555516).

The spelling of 61232300 in words is "sixty-one million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 181 199 340 362 398 425 724 796 850 905 995 1700 1810 1990 3077 3383 3620 3980 4525 4975 6154 6766 9050 9950 12308 13532 15385 16915 18100 19900 30770 33830 36019 61540 67660 72038 76925 84575 144076 153850 169150 180095 307700 338300 360190 612323 720380 900475 1224646 1800950 2449292 3061615 3601900 6123230 12246460 15308075 30616150 61232300