Search a number
-
+
104654368 = 2571383433
BaseRepresentation
bin1100011110011…
…10011000100000
321021220222210201
412033032120200
5203242414433
614215034544
72410355530
oct617163040
9237828721
10104654368
1154090415
122b06ba54
13188b3180
14dc834c0
1592c3a7d
hex63ce620

104654368 has 96 divisors (see below), whose sum is σ = 257233536. Its totient is φ = 40808448.

The previous prime is 104654353. The next prime is 104654387. The reversal of 104654368 is 863456401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241480 + ... + 241912.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2104654368 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 104654368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128616768).

104654368 is an abundant number, since it is smaller than the sum of its proper divisors (152579168).

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

104654368 is a wasteful number, since it uses less digits than its factorization.

104654368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 104654368 is about 10230.0717495040. The cubic root of 104654368 is about 471.2511826550.

The spelling of 104654368 in words is "one hundred four million, six hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 83 91 104 112 166 182 208 224 332 364 416 433 581 664 728 866 1079 1162 1328 1456 1732 2158 2324 2656 2912 3031 3464 4316 4648 5629 6062 6928 7553 8632 9296 11258 12124 13856 15106 17264 18592 22516 24248 30212 34528 35939 39403 45032 48496 60424 71878 78806 90064 96992 120848 143756 157612 180128 241696 251573 287512 315224 467207 503146 575024 630448 934414 1006292 1150048 1260896 1868828 2012584 3270449 3737656 4025168 6540898 7475312 8050336 13081796 14950624 26163592 52327184 104654368