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61810112 = 2671310613
BaseRepresentation
bin1110101111001…
…0010111000000
311022022021112102
43223302113000
5111310410422
610044445532
71350243260
oct353622700
9138267472
1061810112
1131987941
12188498a8
13ca61b40
1482cd7a0
15565e192
hex3af25c0

61810112 has 56 divisors (see below), whose sum is σ = 150973536. Its totient is φ = 24450048.

The previous prime is 61810093. The next prime is 61810127. The reversal of 61810112 is 21101816.

61810112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 518 + ... + 11130.

It is an arithmetic number, because the mean of its divisors is an integer number (2695956).

Almost surely, 261810112 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 61810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75486768).

61810112 is an abundant number, since it is smaller than the sum of its proper divisors (89163424).

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

61810112 is a wasteful number, since it uses less digits than its factorization.

61810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 61810112 is about 7861.9407273268. The cubic root of 61810112 is about 395.3846853249.

Adding to 61810112 its reverse (21101816), we get a palindrome (82911928).

The spelling of 61810112 in words is "sixty-one million, eight hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 10613 21226 42452 74291 84904 137969 148582 169808 275938 297164 339616 551876 594328 679232 965783 1103752 1188656 1931566 2207504 2377312 3863132 4415008 4754624 7726264 8830016 15452528 30905056 61810112