Search a number
-
+
103003520 = 275227709
BaseRepresentation
bin1100010001110…
…11010110000000
321011211010021012
412020323112000
5202332103040
614115420052
72360341544
oct610732600
9234733235
10103003520
1153163084
122a5b4628
1318455939
14d973a24
159099865
hex623b580

103003520 has 64 divisors (see below), whose sum is σ = 247676400. Its totient is φ = 40962048.

The previous prime is 103003501. The next prime is 103003531. The reversal of 103003520 is 25300301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 103003495 and 103003504.

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 7 ways as a sum of consecutive naturals, for example, 144926 + ... + 145634.

Almost surely, 2103003520 is an apocalyptic number.

103003520 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 103003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123838200).

103003520 is an abundant number, since it is smaller than the sum of its proper divisors (144672880).

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

103003520 is an equidigital number, since it uses as much as digits as its factorization.

103003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 103003520 is about 10149.0649815636. The cubic root of 103003520 is about 468.7601545652.

Adding to 103003520 its reverse (25300301), we get a palindrome (128303821).

The spelling of 103003520 in words is "one hundred three million, three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 709 908 1135 1418 1816 2270 2836 3545 3632 4540 5672 7090 7264 9080 11344 14180 14528 18160 22688 28360 29056 36320 45376 56720 72640 90752 113440 145280 160943 226880 321886 453760 643772 804715 1287544 1609430 2575088 3218860 5150176 6437720 10300352 12875440 20600704 25750880 51501760 103003520