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104875368 = 233132967173
BaseRepresentation
bin1100100000001…
…00010101101000
321022100012221220
412100010111220
5203322002433
614223502040
72412266043
oct620042550
9238305856
10104875368
1154221464
122b157920
131895c940
14dcddc5a
1593192b3
hex6404568

104875368 has 128 divisors (see below), whose sum is σ = 298166400. Its totient is φ = 30514176.

The previous prime is 104875357. The next prime is 104875369. The reversal of 104875368 is 863578401.

It is not an unprimeable number, because it can be changed into a prime (104875369) 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, 606130 + ... + 606302.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2104875368 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 104875368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149083200).

104875368 is an abundant number, since it is smaller than the sum of its proper divisors (193291032).

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

104875368 is a wasteful number, since it uses less digits than its factorization.

104875368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 104875368 is about 10240.8675413756. The cubic root of 104875368 is about 471.5826651979.

The spelling of 104875368 in words is "one hundred four million, eight hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 67 78 87 104 116 134 156 173 174 201 232 268 312 346 348 377 402 519 536 692 696 754 804 871 1038 1131 1384 1508 1608 1742 1943 2076 2249 2262 2613 3016 3484 3886 4152 4498 4524 5017 5226 5829 6747 6968 7772 8996 9048 10034 10452 11591 11658 13494 15051 15544 17992 20068 20904 23182 23316 25259 26988 30102 34773 40136 46364 46632 50518 53976 60204 65221 69546 75777 92728 101036 120408 130442 139092 150683 151554 195663 202072 260884 278184 301366 303108 336139 391326 452049 521768 602732 606216 672278 782652 904098 1008417 1205464 1344556 1565304 1808196 2016834 2689112 3616392 4033668 4369807 8067336 8739614 13109421 17479228 26218842 34958456 52437684 104875368