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61780368 = 24313181547
BaseRepresentation
bin1110101110101…
…1000110010000
311022020202201210
43223223012100
5111303432433
610044100120
71350060456
oct353530620
9138222653
1061780368
1131967561
1218834640
13ca51440
1482c29d6
155655463
hex3aeb190

61780368 has 80 divisors (see below), whose sum is σ = 173141696. Its totient is φ = 18869760.

The previous prime is 61780361. The next prime is 61780391. The reversal of 61780368 is 86308716.

61780368 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 (39).

It is not an unprimeable number, because it can be changed into a prime (61780361) 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 15 ways as a sum of consecutive naturals, for example, 112671 + ... + 113217.

Almost surely, 261780368 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 61780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86570848).

61780368 is an abundant number, since it is smaller than the sum of its proper divisors (111361328).

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

61780368 is a wasteful number, since it uses less digits than its factorization.

61780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 61780368 is about 7860.0488548100. The cubic root of 61780368 is about 395.3212533684.

The spelling of 61780368 in words is "sixty-one million, seven hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 208 312 362 543 547 624 724 1086 1094 1448 1641 2172 2188 2353 2896 3282 4344 4376 4706 6564 7059 7111 8688 8752 9412 13128 14118 14222 18824 21333 26256 28236 28444 37648 42666 56472 56888 85332 99007 112944 113776 170664 198014 297021 341328 396028 594042 792056 1188084 1287091 1584112 2376168 2574182 3861273 4752336 5148364 7722546 10296728 15445092 20593456 30890184 61780368