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61045920 = 25335131087
BaseRepresentation
bin1110100011011…
…1110010100000
311020212110021000
43220313302200
5111111432140
610020232000
71340611305
oct350676240
9136773230
1061045920
1131505781
121853b600
13c855060
1481710ac
15555ca30
hex3a37ca0

61045920 has 192 divisors, whose sum is σ = 230307840. Its totient is φ = 15012864.

The previous prime is 61045889. The next prime is 61045921. The reversal of 61045920 is 2954016.

61045920 is a `hidden beast` number, since 610 + 45 + 9 + 2 + 0 = 666.

61045920 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61045921) 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 31 ways as a sum of consecutive naturals, for example, 55617 + ... + 56703.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 261045920 is an apocalyptic number.

61045920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

61045920 is an abundant number, since it is smaller than the sum of its proper divisors (169261920).

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

61045920 is a wasteful number, since it uses less digits than its factorization.

61045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61045920 is about 7813.1888496311. The cubic root of 61045920 is about 393.7484716494.

Adding to 61045920 its reverse (2954016), we get a palindrome (63999936).

The spelling of 61045920 in words is "sixty-one million, forty-five thousand, nine hundred twenty".