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104013294 = 23711297211
BaseRepresentation
bin1100011001100…
…01110111101110
321020201102102020
412030301313232
5203111411134
614153211010
72402045520
oct614616756
9236642366
10104013294
1153792800
122aa00a66
131871a438
14db57a10
1591e8b49
hex6331dee

104013294 has 96 divisors (see below), whose sum is σ = 265267968. Its totient is φ = 26611200.

The previous prime is 104013289. The next prime is 104013307. The reversal of 104013294 is 492310401.

104013294 = 3122 + 3132 + ... + 6992.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492849 + ... + 493059.

It is an arithmetic number, because the mean of its divisors is an integer number (2763208).

Almost surely, 2104013294 is an apocalyptic number.

104013294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104013294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132633984).

104013294 is an abundant number, since it is smaller than the sum of its proper divisors (161254674).

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

104013294 is a wasteful number, since it uses less digits than its factorization.

104013294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 104013294 is about 10198.6907983329. The cubic root of 104013294 is about 470.2869742823.

Adding to 104013294 its reverse (492310401), we get a palindrome (596323695).

It can be divided in two parts, 10401 and 3294, that added together give a triangular number (13695 = T165).

The spelling of 104013294 in words is "one hundred four million, thirteen thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 97 121 154 194 211 231 242 291 363 422 462 582 633 679 726 847 1067 1266 1358 1477 1694 2037 2134 2321 2541 2954 3201 4074 4431 4642 5082 6402 6963 7469 8862 11737 13926 14938 16247 20467 22407 23474 25531 32494 35211 40934 44814 48741 51062 61401 70422 76593 82159 97482 122802 143269 153186 164318 178717 225137 246477 286538 357434 429807 450274 492954 536151 675411 859614 1072302 1350822 1575959 2476507 3151918 4727877 4953014 7429521 9455754 14859042 17335549 34671098 52006647 104013294