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65244960 = 25335111373
BaseRepresentation
bin1111100011100…
…0111100100000
311112202210021000
43320320330200
5113200314320
610250232000
71421400354
oct370707440
9145683230
1065244960
1133913560
1219a25600
13106953b1
148945464
155adbc90
hex3e38f20

65244960 has 192 divisors, whose sum is σ = 249298560. Its totient is φ = 15805440.

The previous prime is 65244931. The next prime is 65244989. The reversal of 65244960 is 6944256.

65244960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65244931) and next prime (65244989).

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

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 31 ways as a sum of consecutive naturals, for example, 46834 + ... + 48206.

It is an arithmetic number, because the mean of its divisors is an integer number (1298430).

Almost surely, 265244960 is an apocalyptic number.

65244960 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 65244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

65244960 is an abundant number, since it is smaller than the sum of its proper divisors (184053600).

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

65244960 is a wasteful number, since it uses less digits than its factorization.

65244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 65244960 is about 8077.4352365092. The cubic root of 65244960 is about 402.5770283245.

It can be divided in two parts, 65 and 244960, that added together give a square (245025 = 4952).

The spelling of 65244960 in words is "sixty-five million, two hundred forty-four thousand, nine hundred sixty".