Search a number
-
+
103126240 = 255792077
BaseRepresentation
bin1100010010110…
…01010011100000
321012001100121101
412021121103200
5202400014430
614122204144
72361362410
oct611312340
9235040541
10103126240
11532372a8
122a653654
1318499759
14d9a6640
1590c0dca
hex62594e0

103126240 has 48 divisors (see below), whose sum is σ = 278443872. Its totient is φ = 35357184.

The previous prime is 103126237. The next prime is 103126241. The reversal of 103126240 is 42621301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103126241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44919 + ... + 47158.

It is an arithmetic number, because the mean of its divisors is an integer number (5800914).

Almost surely, 2103126240 is an apocalyptic number.

103126240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103126240 is an abundant number, since it is smaller than the sum of its proper divisors (175317632).

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

103126240 is an equidigital number, since it uses as much as digits as its factorization.

103126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92099 (or 92091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103126240 is about 10155.1090589909. The cubic root of 103126240 is about 468.9462434011.

Adding to 103126240 its reverse (42621301), we get a palindrome (145747541).

It can be divided in two parts, 10 and 3126240, that added together give a triangular number (3126250 = T2500).

The spelling of 103126240 in words is "one hundred three million, one hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 92077 184154 368308 460385 644539 736616 920770 1289078 1473232 1841540 2578156 2946464 3222695 3683080 5156312 6445390 7366160 10312624 12890780 14732320 20625248 25781560 51563120 103126240