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65690240 = 2757113143
BaseRepresentation
bin1111101010010…
…1101010000000
311120121102001212
43322211222000
5113304041430
610303545252
71425233510
oct372455200
9146542055
1065690240
1134098060
1219bbb228
13107bcc85
148a1d840
155b78b95
hex3ea5a80

65690240 has 256 divisors, whose sum is σ = 206807040. Its totient is φ = 19353600.

The previous prime is 65690237. The next prime is 65690263. The reversal of 65690240 is 4209656.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 65690197 and 65690206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527659 + ... + 1527701.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 265690240 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 65690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403520).

65690240 is an abundant number, since it is smaller than the sum of its proper divisors (141116800).

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

65690240 is a wasteful number, since it uses less digits than its factorization.

65690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 65690240 is about 8104.9515729583. The cubic root of 65690240 is about 403.4907808373.

Adding to 65690240 its reverse (4209656), we get a palindrome (69899896).

The spelling of 65690240 in words is "sixty-five million, six hundred ninety thousand, two hundred forty".