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104701680 = 2433548473
BaseRepresentation
bin1100011110110…
…01111011110000
321022000101201000
412033121323300
5203300423210
614220042000
72410643466
oct617317360
9238011630
10104701680
1154112a16
122b093300
13188cb875
14dc96836
1592d2ac0
hex63d9ef0

104701680 has 80 divisors (see below), whose sum is σ = 360646560. Its totient is φ = 27919872.

The previous prime is 104701679. The next prime is 104701699. The reversal of 104701680 is 86107401.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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, 22077 + ... + 26396.

It is an arithmetic number, because the mean of its divisors is an integer number (4508082).

Almost surely, 2104701680 is an apocalyptic number.

104701680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104701680 is an abundant number, since it is smaller than the sum of its proper divisors (255944880).

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

104701680 is a wasteful number, since it uses less digits than its factorization.

104701680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48495 (or 48483 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104701680 is about 10232.3838864656. The cubic root of 104701680 is about 471.3221861478.

The spelling of 104701680 in words is "one hundred four million, seven hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 48473 96946 145419 193892 242365 290838 387784 436257 484730 581676 727095 775568 872514 969460 1163352 1308771 1454190 1745028 1938920 2181285 2326704 2617542 2908380 3490056 3877840 4362570 5235084 5816760 6543855 6980112 8725140 10470168 11633520 13087710 17450280 20940336 26175420 34900560 52350840 104701680