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104296560 = 2435735953
BaseRepresentation
bin1100011011101…
…11000001110000
321021020210222120
412031313001300
5203144442220
614203234240
72404335414
oct615670160
9237223876
10104296560
1153966605
122ab18980
13187b9354
14dbccd44
159252a40
hex6377070

104296560 has 80 divisors (see below), whose sum is σ = 327803424. Its totient is φ = 27426816.

The previous prime is 104296481. The next prime is 104296571. The reversal of 104296560 is 65692401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 14544 + ... + 20496.

Almost surely, 2104296560 is an apocalyptic number.

104296560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163901712).

104296560 is an abundant number, since it is smaller than the sum of its proper divisors (223506864).

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

104296560 is a wasteful number, since it uses less digits than its factorization.

104296560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 104296560 is about 10212.5687268189. The cubic root of 104296560 is about 470.7135080949.

The spelling of 104296560 in words is "one hundred four million, two hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 5953 8760 11906 17520 17859 23812 29765 35718 47624 59530 71436 89295 95248 119060 142872 178590 238120 285744 357180 434569 476240 714360 869138 1303707 1428720 1738276 2172845 2607414 3476552 4345690 5214828 6518535 6953104 8691380 10429656 13037070 17382760 20859312 26074140 34765520 52148280 104296560