Search a number
-
+
103390364 = 22711615503
BaseRepresentation
bin1100010100110…
…01110010011100
321012112202220202
412022121302130
5202431442424
614132003032
72363542430
oct612316234
9235482822
10103390364
11533a7790
122a760478
131855ca3c
14da349c0
1591242ae
hex6299c9c

103390364 has 48 divisors (see below), whose sum is σ = 229318656. Its totient is φ = 39614400.

The previous prime is 103390351. The next prime is 103390369. The reversal of 103390364 is 463093301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103390369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16037 + ... + 21539.

It is an arithmetic number, because the mean of its divisors is an integer number (4777472).

Almost surely, 2103390364 is an apocalyptic number.

103390364 is a gapful number since it is divisible by the number (14) 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 103390364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114659328).

103390364 is an abundant number, since it is smaller than the sum of its proper divisors (125928292).

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

103390364 is a wasteful number, since it uses less digits than its factorization.

103390364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 103390364 is about 10168.1052315562. The cubic root of 103390364 is about 469.3462527023.

The spelling of 103390364 in words is "one hundred three million, three hundred ninety thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 1342 1708 2684 4697 5503 9394 11006 18788 22012 38521 60533 77042 121066 154084 242132 335683 423731 671366 847462 1342732 1694924 2349781 3692513 4699562 7385026 9399124 14770052 25847591 51695182 103390364