Search a number
-
+
103037528 = 23118314107
BaseRepresentation
bin1100010010000…
…11101001011000
321011212211220202
412021003221120
5202334200103
614120241332
72360542646
oct611035130
9234784822
10103037528
1153186690
122a610248
1318468269
14d982196
1590a4988
hex6243a58

103037528 has 32 divisors (see below), whose sum is σ = 213312960. Its totient is φ = 46267680.

The previous prime is 103037509. The next prime is 103037531. The reversal of 103037528 is 825730301.

It is a self number, because there is not a number n which added to its sum of digits gives 103037528.

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, 251 + ... + 14357.

It is an arithmetic number, because the mean of its divisors is an integer number (6666030).

Almost surely, 2103037528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103037528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106656480).

103037528 is an abundant number, since it is smaller than the sum of its proper divisors (110275432).

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

103037528 is a wasteful number, since it uses less digits than its factorization.

103037528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14207 (or 14203 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 103037528 is about 10150.7402685715. The cubic root of 103037528 is about 468.8117380490.

Adding to 103037528 its reverse (825730301), we get a palindrome (928767829).

The spelling of 103037528 in words is "one hundred three million, thirty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 3652 7304 14107 28214 56428 112856 155177 310354 620708 1170881 1241416 2341762 4683524 9367048 12879691 25759382 51518764 103037528