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61232106 = 2313412467
BaseRepresentation
bin1110100110010…
…1001111101010
311021012220122210
43221211033222
5111133411411
610024225550
71342315155
oct351451752
9137186583
1061232106
1131622651
121860b2b6
13c8bba20
1481bcc9c
155597ca6
hex3a653ea

61232106 has 48 divisors (see below), whose sum is σ = 135469152. Its totient is φ = 18341760.

The previous prime is 61232069. The next prime is 61232107. The reversal of 61232106 is 60123216.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61232107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130885 + ... + 131351.

It is an arithmetic number, because the mean of its divisors is an integer number (2822274).

Almost surely, 261232106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61232106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67734576).

61232106 is an abundant number, since it is smaller than the sum of its proper divisors (74237046).

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

61232106 is a wasteful number, since it uses less digits than its factorization.

61232106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 61232106 is about 7825.0946320156. The cubic root of 61232106 is about 394.1483675982.

It can be divided in two parts, 6123210 and 6, that added together give a palindrome (6123216).

The spelling of 61232106 in words is "sixty-one million, two hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 467 533 934 1066 1401 1599 1681 2802 3198 3362 5043 6071 10086 12142 18213 19147 21853 36426 38294 43706 57441 65559 114882 131118 248911 497822 746733 785027 1493466 1570054 2355081 4710162 10205351 20410702 30616053 61232106