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65196720 = 243252331127
BaseRepresentation
bin1111100010110…
…1001010110000
311112200100002100
43320231022300
5113142243340
610245220400
71421106621
oct370551260
9145610070
1065196720
1133890296
1219a01700
1310679454
148931a48
155acc830
hex3e2d2b0

65196720 has 240 divisors, whose sum is σ = 237699072. Its totient is φ = 15966720.

The previous prime is 65196713. The next prime is 65196721. The reversal of 65196720 is 2769156.

65196720 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 (240).

It is a super-2 number, since 2×651967202 = 8501224597516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65196721) 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 47 ways as a sum of consecutive naturals, for example, 513297 + ... + 513423.

Almost surely, 265196720 is an apocalyptic number.

65196720 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 65196720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118849536).

65196720 is an abundant number, since it is smaller than the sum of its proper divisors (172502352).

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

65196720 is a wasteful number, since it uses less digits than its factorization.

65196720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 65196720 is about 8074.4485879842. The cubic root of 65196720 is about 402.4777864109.

The spelling of 65196720 in words is "sixty-five million, one hundred ninety-six thousand, seven hundred twenty".