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61005216 = 253635471
BaseRepresentation
bin1110100010110…
…1110110100000
311020210101102110
43220231312200
5111104131331
610015315320
71340351526
oct350556640
9136711373
1061005216
1131488138
121851bb40
13c83c67c
148160316
155550946
hex3a2dda0

61005216 has 24 divisors (see below), whose sum is σ = 160138944. Its totient is φ = 20335040.

The previous prime is 61005211. The next prime is 61005247. The reversal of 61005216 is 61250016.

It is a happy number.

61005216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 61005192 and 61005201.

It is not an unprimeable number, because it can be changed into a prime (61005211) 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 3 ways as a sum of consecutive naturals, for example, 317640 + ... + 317831.

It is an arithmetic number, because the mean of its divisors is an integer number (6672456).

Almost surely, 261005216 is an apocalyptic number.

It is an amenable number.

61005216 is an abundant number, since it is smaller than the sum of its proper divisors (99133728).

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

61005216 is a wasteful number, since it uses less digits than its factorization.

61005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635484 (or 635476 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61005216 is about 7810.5835889516. The cubic root of 61005216 is about 393.6609380829.

The spelling of 61005216 in words is "sixty-one million, five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 635471 1270942 1906413 2541884 3812826 5083768 7625652 10167536 15251304 20335072 30502608 61005216