Search a number
-
+
65353240 = 23529531063
BaseRepresentation
bin1111100101001…
…1011000011000
311112222021210101
43321103120120
5113212300430
610252425144
71422331141
oct371233030
9145867711
1065353240
1133987947
1219a781b4
1310702774
148972ac8
155b0ddca
hex3e53618

65353240 has 64 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 24740352.

The previous prime is 65353201. The next prime is 65353243. The reversal of 65353240 is 4235356.

65353240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65353199 and 65353208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65353243) 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 15 ways as a sum of consecutive naturals, for example, 60949 + ... + 62011.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 265353240 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 65353240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

65353240 is an abundant number, since it is smaller than the sum of its proper divisors (89777960).

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

65353240 is a wasteful number, since it uses less digits than its factorization.

65353240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 65353240 is about 8084.1350805142. The cubic root of 65353240 is about 402.7996097489.

Adding to 65353240 its reverse (4235356), we get a palindrome (69588596).

The spelling of 65353240 in words is "sixty-five million, three hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1063 1160 1537 2120 2126 3074 4252 5315 6148 7685 8504 10630 12296 15370 21260 30740 30827 42520 56339 61480 61654 112678 123308 154135 225356 246616 281695 308270 450712 563390 616540 1126780 1233080 1633831 2253560 3267662 6535324 8169155 13070648 16338310 32676620 65353240