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61880040 = 23325171889
BaseRepresentation
bin1110110000001…
…1011011101000
311022102211110100
43230003123220
5111320130130
610050145400
71350654165
oct354033350
9138384410
1061880040
1131a25432
1218882260
13ca87911
14830b06c
155674c60
hex3b036e8

61880040 has 48 divisors (see below), whose sum is σ = 201111300. Its totient is φ = 16501248.

The previous prime is 61880033. The next prime is 61880057. The reversal of 61880040 is 4008816.

61880040 is a `hidden beast` number, since 618 + 8 + 0 + 0 + 40 = 666.

61880040 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 61873956 + 6084 = 7866^2 + 78^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61879986 and 61880013.

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, 85585 + ... + 86304.

Almost surely, 261880040 is an apocalyptic number.

61880040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61880040 is an abundant number, since it is smaller than the sum of its proper divisors (139231260).

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

61880040 is a wasteful number, since it uses less digits than its factorization.

61880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171906 (or 171899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61880040 is about 7866.3867181826. The cubic root of 61880040 is about 395.5337334303.

Adding to 61880040 its reverse (4008816), we get a palindrome (65888856).

The spelling of 61880040 in words is "sixty-one million, eight hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 171889 343778 515667 687556 859445 1031334 1375112 1547001 1718890 2062668 2578335 3094002 3437780 4125336 5156670 6188004 6875560 7735005 10313340 12376008 15470010 20626680 30940020 61880040