Search a number
-
+
103255760 = 2451578221
BaseRepresentation
bin1100010011110…
…00111011010000
321012021221021102
412021320323100
5202413141020
614125043532
72362442126
oct611707320
9235257242
10103255760
1153315643
122a6b65a8
13185136aa
14d9db916
1590e9475
hex6278ed0

103255760 has 40 divisors (see below), whose sum is σ = 241628136. Its totient is φ = 41034240.

The previous prime is 103255759. The next prime is 103255783. The reversal of 103255760 is 67552301.

It can be written as a sum of positive squares in 4 ways, for example, as 22543504 + 80712256 = 4748^2 + 8984^2 .

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8450 + ... + 16670.

Almost surely, 2103255760 is an apocalyptic number.

103255760 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 103255760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120814068).

103255760 is an abundant number, since it is smaller than the sum of its proper divisors (138372376).

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

103255760 is a wasteful number, since it uses less digits than its factorization.

103255760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 103255760 is about 10161.4841435688. The cubic root of 103255760 is about 469.1424834900.

The spelling of 103255760 in words is "one hundred three million, two hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 8221 12560 16442 32884 41105 65768 82210 131536 164420 328840 657680 1290697 2581394 5162788 6453485 10325576 12906970 20651152 25813940 51627880 103255760