Search a number
-
+
104740064 = 25111347487
BaseRepresentation
bin1100011111000…
…11010011100000
321022002100100122
412033203103200
5203303140224
614220535412
72411163422
oct617432340
9238070318
10104740064
1154139840
122b0b1568
1318913190
14dca6812
1592de15e
hex63e34e0

104740064 has 96 divisors (see below), whose sum is σ = 247919616. Its totient is φ = 42923520.

The previous prime is 104740063. The next prime is 104740079. The reversal of 104740064 is 460047401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104740063) 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, 214829 + ... + 215315.

It is an arithmetic number, because the mean of its divisors is an integer number (2582496).

Almost surely, 2104740064 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 104740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959808).

104740064 is an abundant number, since it is smaller than the sum of its proper divisors (143179552).

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

104740064 is a wasteful number, since it uses less digits than its factorization.

104740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 104740064 is about 10234.2593283540. The cubic root of 104740064 is about 471.3797752284.

Adding to 104740064 its reverse (460047401), we get a palindrome (564787465).

The spelling of 104740064 in words is "one hundred four million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 88 94 104 143 176 188 208 286 352 376 416 487 517 572 611 752 974 1034 1144 1222 1504 1948 2068 2288 2444 3896 4136 4576 4888 5357 6331 6721 7792 8272 9776 10714 12662 13442 15584 16544 19552 21428 22889 25324 26884 42856 45778 50648 53768 69641 85712 91556 101296 107536 139282 171424 183112 202592 215072 251779 278564 297557 366224 503558 557128 595114 732448 1007116 1114256 1190228 2014232 2228512 2380456 3273127 4028464 4760912 6546254 8056928 9521824 13092508 26185016 52370032 104740064