Search a number
-
+
64105096 = 23111773587
BaseRepresentation
bin1111010010001…
…0101010001000
311110121212122211
43310202222020
5112402330341
610205554504
71405612216
oct364425210
9143555584
1064105096
1133205120
1219575a34
1310386613
148729cb6
155964181
hex3d22a88

64105096 has 64 divisors (see below), whose sum is σ = 140978880. Its totient is φ = 27002880.

The previous prime is 64105081. The next prime is 64105123. The reversal of 64105096 is 69050146.

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 15 ways as a sum of consecutive naturals, for example, 108915 + ... + 109501.

It is an arithmetic number, because the mean of its divisors is an integer number (2202795).

Almost surely, 264105096 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 64105096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70489440).

64105096 is an abundant number, since it is smaller than the sum of its proper divisors (76873784).

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

64105096 is a wasteful number, since it uses less digits than its factorization.

64105096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 64105096 is about 8006.5658056373. The cubic root of 64105096 is about 400.2188302615.

It can be divided in two parts, 641050 and 96, that added together give a palindrome (641146).

The spelling of 64105096 in words is "sixty-four million, one hundred five thousand, ninety-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 73 88 136 146 187 292 374 584 587 748 803 1174 1241 1496 1606 2348 2482 3212 4696 4964 6424 6457 9928 9979 12914 13651 19958 25828 27302 39916 42851 51656 54604 79832 85702 109208 109769 171404 219538 342808 439076 471361 728467 878152 942722 1456934 1885444 2913868 3770888 5827736 8013137 16026274 32052548 64105096