Search a number
-
+
103443032 = 23711315417
BaseRepresentation
bin1100010101001…
…10101001011000
321012122110011102
412022212221120
5202440134112
614133050532
72364152120
oct612465130
9235573142
10103443032
1153433310
122a786a48
131857a9c4
14da49c80
159134bc2
hex62a6a58

103443032 has 64 divisors (see below), whose sum is σ = 249661440. Its totient is φ = 38995200.

The previous prime is 103443023. The next prime is 103443037. The reversal of 103443032 is 230344301.

It is a junction number, because it is equal to n+sod(n) for n = 103442995 and 103443013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103443037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16388 + ... + 21804.

It is an arithmetic number, because the mean of its divisors is an integer number (3900960).

Almost surely, 2103443032 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 103443032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124830720).

103443032 is an abundant number, since it is smaller than the sum of its proper divisors (146218408).

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

103443032 is a wasteful number, since it uses less digits than its factorization.

103443032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 103443032 is about 10170.6947648624. The cubic root of 103443032 is about 469.4259356025.

Adding to 103443032 its reverse (230344301), we get a palindrome (333787333).

The spelling of 103443032 in words is "one hundred three million, four hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 5417 9548 10834 19096 21668 37919 43336 59587 75838 119174 151676 167927 238348 303352 335854 417109 476696 671708 834218 1175489 1343416 1668436 1847197 2350978 3336872 3694394 4701956 7388788 9403912 12930379 14777576 25860758 51721516 103443032