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61680906 = 2337223311
BaseRepresentation
bin1110101101001…
…0110100001010
311022001201022000
43223102310022
5111242242111
610042011430
71346164500
oct353226412
9138051260
1061680906
11318a9861
12187a6b76
13ca180a1
148298670
155635c56
hex3ad2d0a

61680906 has 48 divisors (see below), whose sum is σ = 159454080. Its totient is φ = 17622360.

The previous prime is 61680889. The next prime is 61680907. The reversal of 61680906 is 60908616.

61680906 is nontrivially palindromic in base 5.

61680906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61680907) 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, 9010 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (3321960).

Almost surely, 261680906 is an apocalyptic number.

61680906 is an abundant number, since it is smaller than the sum of its proper divisors (97773174).

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

61680906 is a wasteful number, since it uses less digits than its factorization.

61680906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23336 (or 23323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 61680906 is about 7853.7192463189. The cubic root of 61680906 is about 395.1089930492.

The spelling of 61680906 in words is "sixty-one million, six hundred eighty thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 23311 46622 69933 139866 163177 209799 326354 419598 489531 629397 979062 1142239 1258794 1468593 2284478 2937186 3426717 4405779 6853434 8811558 10280151 20560302 30840453 61680906