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104305656 = 233713163293
BaseRepresentation
bin1100011011110…
…01001111111000
321021021021110110
412031321033320
5203200240111
614203344320
72404404060
oct615711770
9237237413
10104305656
1153972424
122ab220a0
13187c0530
14dbd23a0
1592555a6
hex63793f8

104305656 has 128 divisors (see below), whose sum is σ = 324011520. Its totient is φ = 27247104.

The previous prime is 104305637. The next prime is 104305657. The reversal of 104305656 is 656503401.

It is a super-3 number, since 3×1043056563 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104305657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355846 + ... + 356138.

It is an arithmetic number, because the mean of its divisors is an integer number (2531340).

Almost surely, 2104305656 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 104305656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162005760).

104305656 is an abundant number, since it is smaller than the sum of its proper divisors (219705864).

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

104305656 is a wasteful number, since it uses less digits than its factorization.

104305656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 104305656 is about 10213.0140507100. The cubic root of 104305656 is about 470.7271917856.

The spelling of 104305656 in words is "one hundred four million, three hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 163 168 182 273 293 312 326 364 489 546 586 652 728 879 978 1092 1141 1172 1304 1758 1956 2051 2119 2184 2282 2344 3423 3516 3809 3912 4102 4238 4564 6153 6357 6846 7032 7618 8204 8476 9128 11427 12306 12714 13692 14833 15236 16408 16952 22854 24612 25428 26663 27384 29666 30472 44499 45708 47759 49224 50856 53326 59332 79989 88998 91416 95518 106652 118664 143277 159978 177996 191036 213304 286554 319956 334313 355992 382072 573108 620867 639912 668626 1002939 1146216 1241734 1337252 1862601 2005878 2483468 2674504 3725202 4011756 4346069 4966936 7450404 8023512 8692138 13038207 14900808 17384276 26076414 34768552 52152828 104305656