Search a number
-
+
103007232 = 2103211177
BaseRepresentation
bin1100010001111…
…00010000000000
321011211022100200
412020330100000
5202332212412
614115445200
72360355426
oct610742000
9234738320
10103007232
1153165949
122a5b6800
1318457533
14d975116
15909a9dc
hex623c400

103007232 has 66 divisors (see below), whose sum is σ = 297457758. Its totient is φ = 34332672.

The previous prime is 103007209. The next prime is 103007237. The reversal of 103007232 is 232700301.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 3326976 = 9984^2 + 1824^2 .

It is a super-2 number, since 2×1030072322 = 21220979688603648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103007237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3628 + ... + 14804.

Almost surely, 2103007232 is an apocalyptic number.

103007232 is a gapful number since it is divisible by the number (12) 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 103007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148728879).

103007232 is an abundant number, since it is smaller than the sum of its proper divisors (194450526).

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

103007232 is a wasteful number, since it uses less digits than its factorization.

103007232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11203 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 103007232 is about 10149.2478539052. The cubic root of 103007232 is about 468.7657854951.

Adding to 103007232 its reverse (232700301), we get a palindrome (335707533).

The spelling of 103007232 in words is "one hundred three million, seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 11177 22354 33531 44708 67062 89416 100593 134124 178832 201186 268248 357664 402372 536496 715328 804744 1072992 1430656 1609488 2145984 2861312 3218976 4291968 5722624 6437952 8583936 11445248 12875904 17167872 25751808 34335744 51503616 103007232