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103912080 = 24354310069
BaseRepresentation
bin1100011000110…
…01001010010000
321020112021120120
412030121022100
5203100141310
614151110240
72401144446
oct614311220
9236467516
10103912080
1153723758
122a972380
13186b334c
14db2cb96
1591c8b70
hex6319290

103912080 has 80 divisors (see below), whose sum is σ = 329651520. Its totient is φ = 27062784.

The previous prime is 103912079. The next prime is 103912103. The reversal of 103912080 is 80219301.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103912080.

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, 5286 + ... + 15354.

It is an arithmetic number, because the mean of its divisors is an integer number (4120644).

Almost surely, 2103912080 is an apocalyptic number.

103912080 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 103912080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164825760).

103912080 is an abundant number, since it is smaller than the sum of its proper divisors (225739440).

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

103912080 is a wasteful number, since it uses less digits than its factorization.

103912080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 103912080 is about 10193.7274831143. The cubic root of 103912080 is about 470.1343813721.

The spelling of 103912080 in words is "one hundred three million, nine hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10069 10320 20138 30207 40276 50345 60414 80552 100690 120828 151035 161104 201380 241656 302070 402760 432967 483312 604140 805520 865934 1208280 1298901 1731868 2164835 2416560 2597802 3463736 4329670 5195604 6494505 6927472 8659340 10391208 12989010 17318680 20782416 25978020 34637360 51956040 103912080