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61671220 = 225131931229
BaseRepresentation
bin1110101101000…
…0011100110100
311022001020000021
43223100130310
5111241434340
610041454524
71346124322
oct353203464
9138036007
1061671220
11318a2556
12187a1444
13ca13860
148294d12
155632e4a
hex3ad0734

61671220 has 48 divisors (see below), whose sum is σ = 140308560. Its totient is φ = 22634496.

The previous prime is 61671217. The next prime is 61671221. The reversal of 61671220 is 2217616.

61671220 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 8 ways, for example, as 268324 + 61402896 = 518^2 + 7836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61671221) 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, 49566 + ... + 50794.

It is an arithmetic number, because the mean of its divisors is an integer number (2923095).

Almost surely, 261671220 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 61671220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70154280).

61671220 is an abundant number, since it is smaller than the sum of its proper divisors (78637340).

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

61671220 is a wasteful number, since it uses less digits than its factorization.

61671220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 61671220 is about 7853.1025715955. The cubic root of 61671220 is about 395.0883101167.

Adding to 61671220 its reverse (2217616), we get a palindrome (63888836).

The spelling of 61671220 in words is "sixty-one million, six hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1229 1930 2458 2509 3860 4916 5018 6145 10036 12290 12545 15977 24580 25090 31954 50180 63908 79885 159770 237197 319540 474394 948788 1185985 2371970 3083561 4743940 6167122 12334244 15417805 30835610 61671220