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103890240 = 2632536073
BaseRepresentation
bin1100011000100…
…11110101000000
321020111011121200
412030103311000
5203043441430
614150421200
72401023666
oct614236500
9236434550
10103890240
1153709303
122a961800
13186a641c
14db24c36
1591c2460
hex6313d40

103890240 has 84 divisors (see below), whose sum is σ = 357349044. Its totient is φ = 27703296.

The previous prime is 103890239. The next prime is 103890263. The reversal of 103890240 is 42098301.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 33732864 = 8376^2 + 5808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15157 + ... + 20916.

Almost surely, 2103890240 is an apocalyptic number.

103890240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103890240 is an abundant number, since it is smaller than the sum of its proper divisors (253458804).

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

103890240 is a wasteful number, since it uses less digits than its factorization.

103890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36096 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103890240 is about 10192.6561798189. The cubic root of 103890240 is about 470.1014418129.

The spelling of 103890240 in words is "one hundred three million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 36073 72146 108219 144292 180365 216438 288584 324657 360730 432876 541095 577168 649314 721460 865752 1082190 1154336 1298628 1442920 1623285 1731504 2164380 2308672 2597256 2885840 3246570 3463008 4328760 5194512 5771680 6493140 6926016 8657520 10389024 11543360 12986280 17315040 20778048 25972560 34630080 51945120 103890240