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104715840 = 2635195741
BaseRepresentation
bin1100011110111…
…01011001000000
321022001010010110
412033131121000
5203301401330
614220231320
72411032665
oct617353100
9238033113
10104715840
1154122619
122b09b540
1318905148
14dc9ba6c
1592d6db0
hex63dd640

104715840 has 112 divisors (see below), whose sum is σ = 350032320. Its totient is φ = 26449920.

The previous prime is 104715829. The next prime is 104715851. The reversal of 104715840 is 48517401.

It is an interprime number because it is at equal distance from previous prime (104715829) and next prime (104715851).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104715798 and 104715807.

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, 15370 + ... + 21110.

Almost surely, 2104715840 is an apocalyptic number.

104715840 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 104715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175016160).

104715840 is an abundant number, since it is smaller than the sum of its proper divisors (245316480).

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

104715840 is a wasteful number, since it uses less digits than its factorization.

104715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 104715840 is about 10233.0757839469. The cubic root of 104715840 is about 471.3434326114.

The spelling of 104715840 in words is "one hundred four million, seven hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 5741 6080 9120 11482 17223 18240 22964 28705 34446 45928 57410 68892 86115 91856 109079 114820 137784 172230 183712 218158 229640 275568 327237 344460 367424 436316 459280 545395 551136 654474 688920 872632 918560 1090790 1102272 1308948 1377840 1636185 1745264 1837120 2181580 2617896 2755680 3272370 3490528 4363160 5235792 5511360 6544740 6981056 8726320 10471584 13089480 17452640 20943168 26178960 34905280 52357920 104715840