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104815680 = 2635412663
BaseRepresentation
bin1100011111101…
…01110001000000
321022020012002020
412033311301000
5203313100210
614222321440
72411630034
oct617656100
9238205066
10104815680
1154190632
122b129280
131893b718
14dcc61c4
159306770
hex63f5c40

104815680 has 112 divisors (see below), whose sum is σ = 341034624. Its totient is φ = 27258880.

The previous prime is 104815673. The next prime is 104815691. The reversal of 104815680 is 86518401.

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, 38029 + ... + 40691.

It is an arithmetic number, because the mean of its divisors is an integer number (3044952).

Almost surely, 2104815680 is an apocalyptic number.

104815680 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 104815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170517312).

104815680 is an abundant number, since it is smaller than the sum of its proper divisors (236218944).

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

104815680 is a wasteful number, since it uses less digits than its factorization.

104815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 104815680 is about 10237.9529203840. The cubic root of 104815680 is about 471.4931838503.

It can be divided in two parts, 10481 and 5680, that added together give a palindrome (16161).

The spelling of 104815680 in words is "one hundred four million, eight hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 2663 3280 3936 4920 5326 6560 7872 7989 9840 10652 13120 13315 15978 19680 21304 26630 31956 39360 39945 42608 53260 63912 79890 85216 106520 109183 127824 159780 170432 213040 218366 255648 319560 327549 426080 436732 511296 545915 639120 655098 852160 873464 1091830 1278240 1310196 1637745 1746928 2183660 2556480 2620392 3275490 3493856 4367320 5240784 6550980 6987712 8734640 10481568 13101960 17469280 20963136 26203920 34938560 52407840 104815680