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103992120 = 2333596289
BaseRepresentation
bin1100011001011…
…00101100111000
321020200100101000
412030230230320
5203110221440
614152525000
72401630011
oct614545470
9236610330
10103992120
1153778901
122a9b0760
13187108cb
14db50008
1591e2730
hex632cb38

103992120 has 64 divisors (see below), whose sum is σ = 346644000. Its totient is φ = 27730944.

The previous prime is 103992101. The next prime is 103992127. The reversal of 103992120 is 21299301.

It is a super-2 number, since 2×1039921202 = 21628722044188800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103992127) by changing a digit.

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, 47065 + ... + 49224.

Almost surely, 2103992120 is an apocalyptic number.

103992120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103992120 is an abundant number, since it is smaller than the sum of its proper divisors (242651880).

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

103992120 is a wasteful number, since it uses less digits than its factorization.

103992120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96309 (or 96299 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103992120 is about 10197.6526710807. The cubic root of 103992120 is about 470.2550599895.

The spelling of 103992120 in words is "one hundred three million, nine hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 96289 192578 288867 385156 481445 577734 770312 866601 962890 1155468 1444335 1733202 1925780 2310936 2599803 2888670 3466404 3851560 4333005 5199606 5777340 6932808 8666010 10399212 11554680 12999015 17332020 20798424 25998030 34664040 51996060 103992120