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103863440 = 2453735089
BaseRepresentation
bin1100011000011…
…01010010010000
321020102210212002
412030031102100
5203042112230
614150053132
72400552602
oct614152220
9236383762
10103863440
11536a015a
122a94a1a8
1318697175
14db19172
1591b9545
hex630d490

103863440 has 40 divisors (see below), whose sum is σ = 248016120. Its totient is φ = 40421376.

The previous prime is 103863439. The next prime is 103863457. The reversal of 103863440 is 44368301.

It can be written as a sum of positive squares in 4 ways, for example, as 45859984 + 58003456 = 6772^2 + 7616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1038634402 = 21575228337267200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14585 + ... + 20504.

It is an arithmetic number, because the mean of its divisors is an integer number (6200403).

Almost surely, 2103863440 is an apocalyptic number.

103863440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103863440 is an abundant number, since it is smaller than the sum of its proper divisors (144152680).

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

103863440 is a wasteful number, since it uses less digits than its factorization.

103863440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35139 (or 35133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 103863440 is about 10191.3414229924. The cubic root of 103863440 is about 470.0610151661.

The spelling of 103863440 in words is "one hundred three million, eight hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 35089 70178 140356 175445 280712 350890 561424 701780 1298293 1403560 2596586 2807120 5193172 6491465 10386344 12982930 20772688 25965860 51931720 103863440