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61300316 = 22711296863
BaseRepresentation
bin1110100111010…
…1111001011100
311021100101020002
43221311321130
5111143102231
610025513432
71343021060
oct351657134
9137311202
1061300316
1131669920
1218642878
13c913a9c
1481d9aa0
1555ad0cb
hex3a75e5c

61300316 has 48 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 23056320.

The previous prime is 61300273. The next prime is 61300321.

61300316 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5501 + ... + 12363.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 261300316 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 61300316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

61300316 is an abundant number, since it is smaller than the sum of its proper divisors (77077924).

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

61300316 is a wasteful number, since it uses less digits than its factorization.

61300316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 61300316 is about 7829.4518326636. The cubic root of 61300316 is about 394.2946682087.

It can be divided in two parts, 61300 and 316, that added together give a palindrome (61616).

The spelling of 61300316 in words is "sixty-one million, three hundred thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 6863 8932 13726 27452 48041 75493 96082 150986 192164 199027 301972 398054 528451 796108 1056902 1393189 2113804 2189297 2786378 4378594 5572756 8757188 15325079 30650158 61300316