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61350366 = 2371137297
BaseRepresentation
bin1110101000001…
…0000111011110
311021102220212210
43222002013132
5111201202431
610030541250
71343320020
oct352020736
9137386783
1061350366
11316a3490
1218667826
13c9307bc
148210010
1555bcd46
hex3a821de

61350366 has 96 divisors (see below), whose sum is σ = 158844672. Its totient is φ = 15344640.

The previous prime is 61350349. The next prime is 61350371. The reversal of 61350366 is 66305316.

61350366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 632430 + ... + 632526.

It is an arithmetic number, because the mean of its divisors is an integer number (1654632).

Almost surely, 261350366 is an apocalyptic number.

61350366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61350366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79422336).

61350366 is an abundant number, since it is smaller than the sum of its proper divisors (97494306).

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

61350366 is a wasteful number, since it uses less digits than its factorization.

61350366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 61350366 is about 7832.6474451491. The cubic root of 61350366 is about 394.4019492201.

It can be divided in two parts, 61350 and 366, that added together give a palindrome (61716).

The spelling of 61350366 in words is "sixty-one million, three hundred fifty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 97 111 154 194 222 231 259 291 407 462 518 582 679 777 814 1067 1221 1358 1369 1554 2037 2134 2442 2738 2849 3201 3589 4074 4107 5698 6402 7178 7469 8214 8547 9583 10767 14938 15059 17094 19166 21534 22407 25123 28749 30118 39479 44814 45177 50246 57498 75369 78958 90354 105413 118437 132793 150738 210826 236874 265586 276353 316239 398379 552706 632478 796758 829059 929551 1460723 1658118 1859102 2788653 2921446 4382169 5577306 8764338 10225061 20450122 30675183 61350366