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65074240 = 26571119139
BaseRepresentation
bin1111100000111…
…1010001000000
311112110010002001
43320033101000
5113124333430
610242433344
71420056550
oct370172100
9145403061
1065074240
1133807270
1219962854
131063578a
1488dd160
155aa63ca
hex3e0f440

65074240 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 19077120.

The previous prime is 65074213. The next prime is 65074279. The reversal of 65074240 is 4247056.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 65074199 and 65074208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468091 + ... + 468229.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 265074240 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 65074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

65074240 is an abundant number, since it is smaller than the sum of its proper divisors (139751360).

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

65074240 is a wasteful number, since it uses less digits than its factorization.

65074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 65074240 is about 8066.8606037293. The cubic root of 65074240 is about 402.2255938633.

The spelling of 65074240 in words is "sixty-five million, seventy-four thousand, two hundred forty".