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61770132 = 22329971721
BaseRepresentation
bin1110101110100…
…0100110010100
311022020020200200
43223220212110
5111303121012
610043540500
71350015564
oct353504624
9138206620
1061770132
113195a8a6
121882a730
13ca49898
1482bcda4
1556523dc
hex3ae8994

61770132 has 36 divisors (see below), whose sum is σ = 156388596. Its totient is φ = 20557440.

The previous prime is 61770119. The next prime is 61770143. The reversal of 61770132 is 23107716.

61770132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 12152196 = 7044^2 + 3486^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 61770096 and 61770105.

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 11 ways as a sum of consecutive naturals, for example, 35032 + ... + 36752.

Almost surely, 261770132 is an apocalyptic number.

It is an amenable number.

61770132 is an abundant number, since it is smaller than the sum of its proper divisors (94618464).

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

61770132 is a wasteful number, since it uses less digits than its factorization.

61770132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 61770132 is about 7859.3976868460. The cubic root of 61770132 is about 395.2994193998.

Adding to 61770132 its reverse (23107716), we get a palindrome (84877848).

The spelling of 61770132 in words is "sixty-one million, seven hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 997 1721 1994 2991 3442 3988 5163 5982 6884 8973 10326 11964 15489 17946 20652 30978 35892 61956 1715837 3431674 5147511 6863348 10295022 15442533 20590044 30885066 61770132