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103959660 = 223571271949
BaseRepresentation
bin1100011001001…
…00110001101100
321020121200211210
412030210301230
5203103202120
614152114420
72401433250
oct614446154
9236550753
10103959660
1153756482
122a995a10
13186cbbbc
14db42260
1591d7ce0
hex6324c6c

103959660 has 96 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 23563008.

The previous prime is 103959637. The next prime is 103959673. The reversal of 103959660 is 66959301.

It is a super-2 number, since 2×1039596602 = 21615221814631200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52366 + ... + 54314.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2103959660 is an apocalyptic number.

103959660 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 103959660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

103959660 is an abundant number, since it is smaller than the sum of its proper divisors (231502740).

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

103959660 is a wasteful number, since it uses less digits than its factorization.

103959660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 103959660 is about 10196.0610041329. The cubic root of 103959660 is about 470.2061265775.

The spelling of 103959660 in words is "one hundred three million, nine hundred fifty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 127 140 210 254 381 420 508 635 762 889 1270 1524 1778 1905 1949 2540 2667 3556 3810 3898 4445 5334 5847 7620 7796 8890 9745 10668 11694 13335 13643 17780 19490 23388 26670 27286 29235 38980 40929 53340 54572 58470 68215 81858 116940 136430 163716 204645 247523 272860 409290 495046 742569 818580 990092 1237615 1485138 1732661 2475230 2970276 3465322 3712845 4950460 5197983 6930644 7425690 8663305 10395966 14851380 17326610 20791932 25989915 34653220 51979830 103959660